There's nothing I can add, you've covered it all.
I can only add that my personal experience makes me very wary of those who defend a stereotype like this.
Since I'm of mixed race I have the (mis)fortune of having been mistaken for various ethnic identities when I've travelled. It's no fun looking like you belong to the wrong group in a society and things only get better when people let go of the stereotypes enough.
What matters, in my experience, however, is the way that progressive people try to engage with the problem.
