Honestly, the more I think about it, the more the Templin Institute's female Space Marines video feels like something an anti-woke grifter would make. For the dark gods' and the Emperor's sake, it's titled "Female Space Marines and the Death of Canon". If someone told me to watch a video with that title, I'd expect it to be someone bitching about "how dare women exist in my totally exclusively male hobby" and how "the woke mob is trying to destroy warhammer", and not the exact opposite. The only part of the video that lines up with what I'd expect from the title is how poorly-constructed the arguments are.
I'll probably write up a proper response to the video next week when I'm on spring break, it's been weighing on me far more than it should.