I cant see how, in the passage you quoted, Butler is doing anything but using fancy language to describe what users of common speech call “socialization into sex roles.”
That’s pretty much it. For what it’s worth, Butler never ever claimed gender is a free-for-all. And she was adamantly against any notion that gender is a subjective feeling.
When I first came across gender ideology 10 years ago, gender ideologist were very critical of Butler. I have no idea whether Butler has much to say about gender ideology now. She hasn’t focussed on gender since the 1990’s.
Using a Butlerian or performative approach to gender now, I would say the way TRAs aredoing genderis extremely masculine. The sense of entitlementthey display looks an awful lot like performance of ‘manhood’, not womanhood.
Unfortunately Butler did not pay much attention to power structures, that any performances of gender exist within. I seems pretty clear to me, that the only reason gender ideology, or more specifically the claim that men are women if they say they are, is gaining such traction, is precisely because it is primarily white, middle to upper middle class men who are driving it.
They really are performing their priviledge, while women cheering them on are displaying their female socialisation very claerly.