Modern progressivism does distinguish instances of “punching down”, yes. That’s no secret and is not intended to be.
That’s not the point, though. Turning this into a “what about the white men!” whinge is blatantly misrepresenting this scenario as the result of “modern progressivism” when it’s actually something else.
I believe that you’re not going to find many proponents of the sort of progressivism that the “white about the white men!?”crowd fight against, that are actually in favour of this decision. Furthermore I believe that you’d find plenty that are against it.
Around the proponents of this ideology are concentric circles of people making misguided attempts to “capitulate to this PC culture”, often as an ass-covering tactic. By the time you get to a layperson perceiving ‘the culture’, it’s a xerox of a xerox of a xerox created by various corporate HR, PR, and marketing departments. Then, of course, you’ve got the people revolting against Big Org #836 mandating wearing pronoun pins in the office when that’s clearly not something any trans person would advocate for. The collective facepalming at misguided attempts to pander to “LGBTQIA+” is a big part of the current queer community / culture. This is just the community I am familiar with. I imagine it’s the same elsewhere.
I don’t believe that this is much of a ‘no true Scotsman’ fallacy. It’s pretty easy to draw a logical bound between those that believe in the cause, and the rest.
I do not believe that this action was taken as a genuine act of modern progressivism. It’s a typical corporate ‘make this go away and don’t upset the minorities with megaphones’ action. But we’ve got some great keywords like “university” and “Muslim” which opportunists obnoxiously use to fuel the culture war.