I think the proper word is "authoritarian", which is a classification they would likely agree with.

As an aside, I think traditionally political labels like "the Left" are becoming very problematic and are part of the problem. It's generally no longer enough to ask someone whether they're left or right and then correctly assume their stance on things. Instead - and I argue that we should have started doing that before this current upheaval - instead, you have to query a person specifically about their positions on specific things.

For example, that way some confusion about the so-called Social Justice Warriors could have been avoided on all sides. They are a heterogenous group, but do tend to represent leftist values (inclusiveness, equality, a belief that society should take care of disadvantaged individuals disproportionately), at the same time they are not liberals in most regards. They tend to believe in progress through force, and they do generally favor strict rules and harsh/permanent punishment. They're authoritarians.

One might argue that the SJW movement has more in common with conservatives and reactionaries than traditional leftist liberals, if you disregard their disparate political goals for a moment. Leftist liberals and SJWs often cannot successfully communicate and as a result are often in conflict, despite overlapping goals.

This may also be the reason why, as the article describes in one instance, an openly anti-trans moderator was mostly seen as A-OK, whereas the leftist liberal author was fired.