I think if you are spreading misinformation or inciting hatred towards a minority group, in the knowledge that some of your target audience may be violent - as in the case of Posie or those who have appeared on Poulton's show - then you do share culpability for that violence even if it was not by your hands.
That line of argument works both ways.
The "trans-rights" side will throw accusations of bigotry and transphobia for next to nothing in this debate. So just deny that trans-women are women (obviously biologically speaking they aren't) and you will be called a transphobe over it.
So that's arguably incitement of hate, and they know that some of their fellow travelers can act violently.
So are they going to tone down the rhetoric, look for civil debate, and accept that people can disagree with them?
Or do they share in responsibility for any violence that may manifest?
All sides can be guilty of misinformation of course. E.g. "puberty blockers are reversible" is dangerous misinformation. Obviously people should try to avoid that.
(I ignore whether GC are a "minority group" as I don't think that aspect matters.)