Why does it matter whether he has shackled himself to one side of a political binary, or cares for the happenings of a singular website and its owner?
As for moderation, I believe they were lamenting the corporatization of the Internet and how it has become a hotbed for controlling the populace, rather than connecting the populace. Which would presumably fall under a preference for unmoderated communication.
As such, the same US left now saying that one shouldn't take those Twitter files seriously is quite disingenuous, if anything, the Twitter files seem more real than any of that Trump-Russia fiasco.
I propose, for example, "equating abortion to murder", "misgendering someone", "calling someone the f-word", "saying that f-words are molesters", etc.
Most of the big platforms (such as Twitter or Meta) are just in the middle. Twitter before Musk moved one point to the left, making misgenderisation a bannable offence, but I think Musk undid that. As a data point I have had comments flagged for doing the first one here, so you can tell where this community stands.
I have absolutely no faith in changes made by Musk, but I have to say I still remember the days when the platforms, instead of silencing everybody by default, trusted you to make a judicious use of the block button, like a grown-up would.