I think they're mostly looking for regulations because they've spent close to $2T, all to realized they have no technical moat, so they're trying to build a regulatory one.
That's the conspiracy theory, but there's no good evidence for it, and it doesn't really make sense in the long-run.
Both things can be true.
They want stable rules they can follow, which will limit their liability as long as they stay within them.
They also would like those rules to be as restrictive as possible towards their competitors.