No, I do not know the point you are making. That is because you are trying to divert and obfuscate the issue by coming on here trying to claim "not our crimes" refers to Asian people.
You seem to be telling women to sit down and shut up and not use this slogan because other groups might appropriate it. No. We will not shut up. If others hijack the slogan that is up to them. Context is everything. Google "not our crimes" and look what comes up. That will tell you all you need to know about context and how this slogan is being used. I don't see any "weakened argument" there.
Here's your real point. You are clearly male. You do not like the slogan "not our crimes" because you feel indignant as if somehow you personally are being blamed for all crimes committed by males.
I base this on the fact that you said "it implies that the crimes of an individual are the responsibility of or ‘owned by’ people who share a characteristic with that individual".
No, it does not imply any 'responsibility' in that way. No more than I am 'responsible' for Lucy Letby's crimes because she's female and so am I. But I accept 100% that she belongs to the same sex class as me. I don't feel personally blamed by that fact.
Male violence is a big problem in society. Men need to step up and address it. Not get personally butt-hurt because they feel they're being got at. As the 10th rule of misogyny says, "the worst thing about male violence is that it makes men look bad".
So we will keep on using our supposed "shit slogan that actually is pretty nasty", thanks. It's actually proved to be very effective over the past few days because it's highlighted the problem of language manipulation in the media. And if some men don't like it, well they need to deal with that.