Absolutely it is not universal, but that's... kind of the problem.
Porn isn't that big of an issue either way. Left-wing movements can take a stance on whatever side of it. The problem is when issues like this end up being targeted at some portions of the left-wing spectrum but not to others and you end up with a split down the middle that one or both sides decide to make into a dealbreaking issue.
It... kinda sounds like judgement.
So what happens to... you know, Uber drivers, software engineers for social media and Amazon drivers? Because there's a biiig spectrum of work under capitalism, and it doesn't fit particularly neatly in "selling your body" or "helping people".
Look, nobody is saying that sex work can't be exploitative or even that it's not generally exploitative. The legal gray areas and general ickiness of the entire space is... a lot, and I think it needs specific regulation. But to take it as a uniquely patriarchal, capitalistic thing distinct from "normal" work requires not seeing it as proper labor, but as inherently... well, they do kind of abuse the word "abolition" very pointedly.
That has a long, nasty tradition with pretty unhealthy side effects, honestly.
In any case, that's the rhetorical trick I'm worried about. You let the right own sex work AND you let the stance on this split feminist/leftist spaces in half and you've manufactured a mix of TERFism and the concession of "free speech" as a fascist talking point. It's a political problem more than a policy problem, frankly.