Getting the fuck out of that environment 5 months ago was the best move of my life: Manveer Heir

White Tears may exist to make fun of that specific type of person, but you could easily do so without invoking the entire racial group. The phrase is intended to mock any white person that asserts victimhood and thus belittle the idea that white people can be victims of prejudice. That's a very broad statement that does address the entire racial group, and it's a problem to me because it promotes precisely this kind of double standard.

Most people who promote double standards believe they are justified, but it is still a double standard. At any rate, we do not live in a society where such a broad and unnuanced assertion of a power dynamic can be sustained. We do actually have a highly egalitarian society, contrary to your assertions, and we have quite a lot of non-white people that work their way into positons of authority. So, if one of those people abused their power to make racially discriminatory decisions that hurt white people working for them, would you still assert that this is not racism? Sociological system theories can make for interesting theoretical models, but they aren't meant to be applied to individuals, no more than you can apply averages to individuals.

I don't think it's bending over backwards. 
I think it's attempting a nuanced discussion of the challenge it poses to our language as we understand it, given the anomalous nature of this case and the actors' clearly racial motivations.
And also how, regardless, it becomes a tool for white surpremacist alt-righters to use in order to prove a symmetry that does not in fact exist, as well as to smear POC protestors and "prove" that BLM is a hate movement.
This has nothing to do with BLM. BLM is a social movement that actually values and invites white allyship and is not a black militant movement, and its organizers/leaders would not ever condone this. But the link you shared suggested as much.