Runners, I fear for you. Be persuaded by its power or suffer the consequences. This identity will force the meta to adapt. Exactly how remains an open question but every deck design will have to at least consider the question, "How will I respond to Skorpios?"
Clearly one response is Employee Strike given that it is already a great answer to so many other questions. Frankly, I suspect that 3 becomes the minimum number of currents that Skorpios runs to counter this. Housekeeping and potentially Door to Door play well with their game plan. And 1 of each breaker builds become probably far too risky. Jack that up to 2 or even 3.
Without EStrike, a whole swath of runner cards and archetypes that thrive by trashing their own cards. (particularly if they take place on the runner's turn, enabling another Skorpios activation) are greatly disincentivized if not rendered outright useless.
Shapers will have to suck back a huge gulp of 'Nope': Scavenge, Self-modifying Code, Aesop's Pawnshop, Sharpshooter, Deus X. Removing from game also makes their recursion options considerably weaker later on, looking at you Levy AR Lab Access and Clone Chip. Film Critic in faction will help against Hunter Seeker at least and Sacrificial Construct may help keep your programs on the table longer.
Probably Criminals hate Skorpios the least. They don't play much recursion so they've been living this life for a while.
For Skorpios Hunter Seeker seems like an obvious auto include, Power Shutdown will do work. I'm not even going into all the damage cards that can ruin your day. Apparently there are a few? I've heard ICE can trash things sometimes, so there's that as well. Corporate Troubleshooter and Marcus Batty help that happen.
I try to avoid prognostications of doom or yelling things like 'broken'. I still love you Netrunner. I will say this though, I have reservations about the power level of this card given how prevalent trashing mechanics are in the game.