This is spot on:
His argument is that some of his opponents on the issue appear to be giving strength to anti-trans campaigns on the fundamentalist religious right in the US and elsewhere – that if any ground is given “the next thing will be an assault on equal marriage and abortion”. But of course there is no suggestion at all that Rowling or Bindel have any sympathy with those groups so, again, isn’t that a problem of social media platforms themselves, which are engineered to promote simple binaries over nuanced argument, and which reinforce “which side are you on” tribalism.
He seems to agree, when we talk, that it might be better to aim fire at those extremist reactionary groups but reserves his right to defend his corner if “people are spitting at him” on X.
Basically, there are some men out there who simply envy and resent successful, influential women. So they contort reasons to argue with them, in this case the notion that fundamental religious groups agree with them. But they don't attack the fundamental religious groups themselves (which are headed up by men).
If it walks and quacks like a misogynist...