To be honest I don't think he's cognisant enough to be misogynistic. Like most people who have embraced gender ideology as an article of tribal membership, he hasn't got the first clue what it is even about." It is just about equality, innit?"
Do you remember that 'debate' he and that 'professor' from Birmingham University had with Julie Bindel and Ayaan Hirsi Ali? They'd done no research at all and didn't know what the hell they were talking about - embarrassing - even though their arrogance prevented them from even being aware of that.
I was watching 'Billboard Pete" on you tube the other day. It is evident from his encounters with aggressive, self righteous gender ideologues that they have not the faintest clue what they are talking about. One young woman was surprised to hear that he wasn't shocked and outraged at her having short hair whilst still being a girl🤔