Depends on just how successful SteamOS gets. If it start to have a significant market share, competitive multiplayer games might start to find it hard to ignore it. Though how they decide to deal with that, I have no idea.
I think Valve see a future for anti-cheat where most of it is behavioral analysis. Client-side anti-cheat is a big game of cat and mouse. It does make cheat harder to develop, but to a point where the customer is impacted. Post game analysis cannot be countered "technically". Cheat would need to mimic a real player behavior, which at the end is a success. If you can't tell if a player is cheating or not, does it matter that they are ? Although for things like wallhacks, it might be harder to detect.