It is absolutely just the left. The right-leaning spaces, even /r/conservative, do not ban for "wrongthink" unless it is accompanied with obvious contempt or hostility. Conversely, you'll be banned from a number of subreddits simply for posting in /r/conservative or other labeled-right-leaning subreddits.
I don't have any recent information on pre-emptive bans, but years ago /r/conservative had a particular mod (I won't name) who did just that.
Do the same on Twitter (or call someone cisgender) and see how long until you're banned.
(Spoiler alert - I have done both and have been banned as a result)
If you(the general you, not you in particular /nailer)disagree with me, then please explain how any casual observation of the subreddit r/conservative lets someone state that the subreddit does not engage in censorship or banning for wrong think, and with the critical caveat that I will not accept the moderators of r/conservatives statement’s that they don’t engage in censorship as proof on its own
And don’t get me wrong, I’m sure they have a huge brigading problem, again it’s not limited to /r/conservative, but /r/conservative is a laughable example. /r/Republican and /r/Trump are better examples even.
I’ve had accounts banned along the the entire ecosystem of libertarians solely for the audacity of asserting that there were people who described themselves as socialist libertarians, and not declaring that there were five lights and that the philosophy did not exist.
The admins don’t care unless it hurts advertising dollars. Reddits leadership has been very consistent on this practice ever since the early days like with u/violentacrez and the jailbait subreddit