We're talking about things like this Jack.
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There was no nationwide discussion about how dangerous white people are or a big emphasis on the perpetrator's race after Timothy McVeigh or the Batman theater shooter. When white people commit crimes the subject is exclusively "mental illness." Race isn't brought up.
When you sum up a story like this with "crazy black woman", it carries the implication-- as does your post I quoted above-- that her race somehow played a role in her crime.
When you make a reference to the "real world" I think what many of us would say back would be that this "real world" is a range of created perceptions from news media and reporting emphasis or the fact that you're 10,000x more likely to hear about a kidnapped white kid than a kidnapped black one. And
how the media covers stories based on the race involved. No one made any serious suggestion to profile blond haired blue eyed Christians after the Oklahoma City bombing. But an opposition to profiling Middle Eastern people after 9/11 garnered many responses similar to yours... "well, I live in the real world and I'm not going to play P.C. to pretend otherwise.."
I don't actually know what your intent was, since I can't read your brain. But when your comment on the story is "crazy black woman", you do create the implication that you consider race part of the factor of her crime.