Firstly, as a 2.0 bioroid, Sherlock 2.0 follows the patterns of +1 strength, +1 rez cost, and a boost to his subroutines, and 2-click to break 2 subs. In this case, the upgrade to the subroutines is the most significant improvement.

The 1.0 model’s 2 subroutines are traces to add an installed program to the top of the runner’s stack, in convenient, but very easily recovered from. The 2.0 model offers 2 trace subroutines to put an installed program onto the bottom of the runner’s stack, which is much more difficult to recover from. Shapers may not seem to be greatly affected by this, but bear in mind their decks are built to tutor exactly as much as they need to get their rig set up once, tutoring an extra program will set them back. Anarchs are typically planning on drawing their breakers or injecting them to pull them back from the heap, either way forcing them to find a breaker again is a decent setback for them. Criminals are hurt pretty badly by either program trashes or having a breaker buried (either one may as well be the moon for all the recursion they have), luckily they have Faerie in faction to save them from such unfortunate face-checks. For an added 3rd sub we tack on an unconditional tag, just for fun.

The tag subroutine isn’t particularly threatening on a 3-influence HB ICE, since it won’t be splashed into a tag-punishing NBN deck, or a Weyland kill deck, but most runners do rely on resources (Beth Kilrain-Chang, Temüjin Contract,and Wyldside all come to mind), so most often the tag will be removed.

So, how will runners break Sherlock 2.0? The answer is surprisingly painfully. The most efficient break is to have high link (ideally 4+, but even 2 or 3 is pretty good) and just clear the tag afterwards. The corp can always boost the traces so the runner does have to consider the credit differential, but if the corp is unwilling to boost the trace, then high-link is the cheapest solution. My second-place solution is a tie between D4v1d, and Atman 6, both are costing about 1c per subroutine, and an install targeted at breaking a single piece of ICE. Atman 4 + 2 Datasucker (or Mimic +3 DS) tokens is a tolerable answer (since 4tman has many other uses), but will require extra clicks to farm datasucker tokens, and leave the runner vulnerable to a CVS purge on approach. Any boostable killer will cost the runner a lot of credits, often equaling the corps rez cost each time the runner breaks Sherlock 2.0. The rez to break ratio on this sentry is really good, but honestly most runners don’t rely on boosting reusable breakers to deal with large sentries; as always, the goliaths of the battlefield are best dealt with by avoiding them, or undermining their weaknesses.

Finally, I want to address the card art. I’ve always found the Sherlock 1.0 artwork to be fairly tame; a depiction of a Saturday-morning-cartoon Sherlock Holms puffing thoughtfully on a pipe, undoubtedly a mere breath away from prosaically saying ‘elementary my dear Watson’ while explaining the resolution of a 20-minute mystery. The artwork is fine, though what I think it does best is represent a meatspace mechanical man interacting in a digital space. Sherlock 2.0 looks more like the darker side of a coked-up violinist that we see in Conan Doyle’s later depictions of Sherlock Holms. Calm, capable, and when he delivers his masterstroke he unravels his rival’s plans in the most unexpected (and at time convoluted) of ways.

This card is powerful.

The runner should play it in the following circumstances: 1. The runner can immedaiately follow up the run with another run should ICE be rezzed that keeps them out. 2. The runner can most likely break some, if not all of the ICE on the server

My preferred use is to break into a scoring server, often uncontested as the corp doesn't want to give up ICE if it isn't about to be match point. Often the corp will only have 1 piece of ICE that can really stop the runner (e.g. Little Engine vs Faust) or is counting on the taxing power of the full server to keep runners out. In either of these cases, rezzing their carefully placed ICE only to see it destroyed, regardless of run success, is typically both demoralizing and more damaging to the corp than it is to the runner.

There are plenty of other uses, but right now, in the current meta, there is often an early-mid game window where the corp can price a Faust runner out of a scoring remote with a few choice ICE. Run Amok solves these servers so long as the runner leaves them face-down and pressures centrals instead.

I only slotted this card in the night before my SC, because I was sick of Street Peddler trashing my events. Run Amok bought me free access to many of my 2nd and 3rd agendas, and quickly became more important than viruses for Déjà Vu recursion.

There is no question in my mind that this card is better than Bribery, Running Interference, or even Inside Job. The uses are slightly different, but particularly in the current Faust-heavy meta, this card is an all-access pass to an unrezzed server.

This card has some (janky) potential in Spark Agency: Worldswide Reach to tax a few extra credits and as a combo with Ad Blitz to recur any asset from archives.

Recurring econ assets alone may not be enough to really make Ad Blitz worth a card slot, given how expensive it can be to rez all of the cards being installed, but recurring some 0-rez cost assets may be more interesting. Some targets I have used:
Jackson Howard
Reversed Accounts
Early Premiere
Tech Startup

Of these cards, Jackson and Reversed Accounts have done the best job of baiting runs that waste the runner's clicks and credits. For bonus jank points pull back a few Special Offers to defend your recurred assets, but that has nothing to do with this card, it's just fun.

Early Premier is not a very exciting card, given its limited window to activate its ability, but it is support to score a 4-2 as a never-advance card, which does combo with this agenda. In practice, it is very difficult to pull off.

Once scored, having the option to rez 0-cost assets to tax the runner is a nice little bonus that can throw off some run math. It may no seem like much, but rezzing J-Ho to tax the runner is a nice way to extend Spark's ID ability.

In conclusion, there is some limited use for this card in janky Spark Agency decks that use some low-rez-cost non-advertisement assets that make Ad Blitz worth playing. It is a large combo that is difficult to use, but if the corp needs to pull back some econ assets anyways, grabbing some extra bait could help. Outside of this combo I don't see any use for this agenda.

There exists a strong temptation to view Trope as the Anarch Levy AR Lab Access. Don't. These cards do both share the same design space of allowing cards from the heap to return to R&D, which makes them similar in the same sense that a blunderbuss is similar to a modern sniper rifle.

Trope allows the runner to run bold and recklessly using their most powerful cards right off the bat. Thinking in orange, the top targets can probably look like:
Account Siphon
Blackmail
DDoS
Demolition Run
Legwork
The Maker's Eye
Any econ card
*Your suggestion in comments!

Let's just think about the first three. Imagine a Valencia Estevez: The Angel of Cayambe deck with 6+ copies of Blackmail and DDoS. With 6+ copies, there is no reason to wait, just pop them as soon as you draw them to hit the corp early and often. Think about Reina Roja: Freedom Fighter with 6+ Account Siphons, will she ever stop? will the corp ever have more than 3 credits? probably not. In theory, '6+' could become a really big number, but these high-impact events should probably end the game before then, and I don't really care about the theoretical; 6 is already a lot.

But Trope is better than just having extra copies in your deck. You are very specifically selecting your best cards for your current match up, leaving your stack supercharged with the best high-impact cards in the mid and late game. You can dig for those 3 copies of Blackmail in a 30 card stack after you've already used 2.

Trope does not do what Levy does, and it is a poor replacement in decks looking to bring back cards en mass. Faust Noise and PPVP Kate are the two most popular runners at the moment, and they can both stand to gain more from Levy than Trope, since they both need lots of cards, more than specific cards.

In conclusion, Trope and Levy are different cards that do different things, and should be though of as such. Focus on Trope's real strength and what it can do, and you will see it shine from the background while Account Siphon, Blackmail, and DDoS take center stage.

I feel kinda silly pointing this out, but I had a runner miss this: any current counts. If a runner plays Employee Strike to kill Paywall Implementation or Surveillance Sweep, News Hound keeps its second sub.

So in a twisted way, this card punishes a runner for playing their own current. Take that, you dirty anti-corporate hippies!