[a sign reads FEMINIST CONFERENCE next to a closed door, a blue character shrugs and says…]
I don’t care
[next to the same door, the sign now says RESTRICTED FEMINIST CONFERENCE WOMEN ONLY, there are now four blue characters desperately banging on the door, one is reduced to tears on the floor, they are shouting]
DISCRIMINATION
SO UNFAIR!!!
LET US IINN!!
MISANDRY


I’ll admit that I only know BLM from first hand experience (not a lot) and the news, so I should not speak on the movement as a whole. But I wanted to use it to illustrate my point.
I would not say that this is the problem. More in the lines of whataboutism?
You want to discuss something and other people (often men in the case of feminism, again, in my experience), tries to whataboutism their counterpart (for example a femenist) to make their counterparts arguments invalid in some way.
Back to OP’s comic, here is a real world example: https://www.bbc.com/news/entertainment-arts-46622772. Emma Knyckare (a Swedish comedian) organized a festival that was “male-free”.