First, in most anarch decks you just want to play Grimoire if you need extra mu. This topic is not an argument that memstrips is a better card than Grimoire. It isn't. It's not even debatable. The extra 1mu is rarely required for an anarch deck to function.
The reason you play memstrips is because you want a console that has a more relevant ability for your game plan, but you still need more programs than 5 mu would allow. Which means that its in direct conflict with a few other cards:
Akamatsu Mem Chip (You probably don't have influence for memory, so lets ignore this)
Dyson Mem Chip. If you only need 6 mem, which the grimoire argument says is the case, then Dyson costs the same, doesn't limit you to viruses and gets you link. Not using this card is something you must consider when justifying memstrips. It may be you want the ability to play over 6 mem given the option, I've certainly been there before (hey data folding). But, not being restrained to viruses means you need to consider this card seriously. The link is a counter argument to data folding by underworld contacts. Tricky.
Progenitor - This card will hold a virus no matter its mem cost, is free to play, and preserves virus counters (which presumably, your viruses will use). But, this card is a trap and bad at times. Unlike memstrips, it requires that it exists in your hand before Medium or Data Sucker. It also, once your memory is full, will not free ups space for a corroder or a mimic or some AI you happen to have in hand. It's also at risk for shutdown. But, this is a silver lining because that may protect something like net ready eyes. Progenitor is a strong bad card. Taking it over memstrips seems like a no brainer if you just want an extra mu and it'll do it at an economic discount. BUT, if you play the card you'll find its often coming up at the wrong time or putting a card at risk that you don't want to be at risk. The other problem with progenitor is that it can't host a parasite, which is often the reason you want extra mu in an anarch deck. Your rig is up, but now you need to put a parasite on something and you've hit the bounds of where you need to be.
Djinn - comes with almost all of the downsides of Progenitor, can host as much as memstrips, costs a little less than memstrips, and can tutor. But, you need a free mem when it shows up. So its even more conditional. It also puts more programs at risk to program destruction.
If you watch expert players play, they often get around needing memstrips by only installing programs when they need them. But not all decks can function by face checking and figuring out what they need; and not all of them are meant to play lightning fast. So, when you're building you need to consider the risks. If you're already taking desperado into something like valencia, and you already have early game pressure from desperado, memstrips makes sense for those late game parasites or programs that are showing up later than you'd like them too. Memstrips lets you build your rig out as you find it a bit easier than the seemingly easy answer. And it gives you overflow should you need it. That said, dyson mem chip will often be just as good if you don't plan to overflow past 6 programs or use that extra mem to generate credits.
So Memstrips is still a highly conditional card, for inclusion, and its usually part of a deck that needs to rig out around a powerful console. This ultimately means that if your deck doesn't get extreme momentum in the early game, the Memstrips is probably a card you don't want in your deck if you're using a non-grimoire console. A leaner deck may in many cases be more effective if you plan to finish your games early. If you're planning on pushing the game to the late game as valencia does, now you just have to decide if you need link or the ability to play with extra mu. Sometimes if you're only running 2x of a console in a 50 card deck, you can play with just a memstrips over a console. Its not a horrible place to fall back to. You're still hitting that 6 mu, which you won't with a single dyson.
So, there's an argument for a deck that wants memstrips. It's still not an amazing card, but its by far not the worst card to come out of order and chaos.