OK, I have to say it. I hate this card, and I hate its design.
In A:NR, tags represent the fact that the Corporation knows who the runner is. With one tag, they can already try to kill him, make him poor, take back some agenda, trash his stuff, etc. With two tags, they know enough about the runner to use a surgical strike (or two). With more tags, they can do weird things. In any case, a tag is a handicap for the runner.
Now, the runner can survive with this handicap. Strategies exist for the runner: keep the Corporation poor (Account Siphon, Vamp, Lamprey, Wireless Net Pavilion, Fall Guy), put on some protection (Plascrete Carapace, Sports Hopper, Brain Chip, etc.). I think that the tag mechanism is great because it makes for interesting timing decisions. Look at the 2016 Worlds finale to convince yourself. Floating tags is doable, but is always a tough decision.
There is a similar element on the corp side, and that's bad publicity. Getting bad publicity is annoying for the corp because you are giving the runner money to access your precious servers and trash the precious assets that you set up with all your love. And while this may not be as punishing as being blown up, there are very few ways to remove bad publicity, and it gets rid of very few of them.
So recently, the game designers decided to make tags a good thing for the runner. I think Data Leak Reversal was already a bad design. Together with Citadel Sanctuary and Power Tap, you want to get tagged, and you make money while doing so. But then, Jarogniew Mercs protects you from damage, Counter Surveillance gives you a lot of accesses, Obelus gives you the draws and the hand size protection, and Mars for Martians gives you the economy. And Valencia's bad pub protects you from The All-Seeing I.
There has been a couple of Corp cards that benefit from Bad Pub. Ireress is a very bad one: it only negates your bad pub, if the runner runs on the server where you installed this ICE. Illicit Sales gets a pass because a) it is very funny, b) it is not super powerful, c) 3-for-1s are not that great, and d) there is no good way for the Corp to negate scores of bad publicity.
Now, in my opinion, both tags and bad publicity are things that help the other side. In a sense, they could totally ignore it. The Corp could decide that, while they know the type of cereals that the runner eats for breakfast, they will dump all this information and not use it. Actually I believe that, since tags and bad pub can be beneficial to the party who has them, there should be a way for the other party to remove them at no cost.