Here's two more arguments:
- When such profiling is actually a contradiction of the traditional, racist stereotypes, it is far easier to believe that it's actually the result of learned experience, and therefore part of an honest attempt to be effective.
- It's far less of a burden to be confronted by "unusual" stereotyping. For practical reasons, because, say, one employer not hiring you because they don't like redheads is far less of a threat to your career than a significant number thinking your gender or skin color disqualify. And, more importantly, it will cause less psychological harm. To illustrate: I'm 6 feet tall; Once, for reasons I still don't understand, someone tried to insult me as being short. Such incongruities are more likely to cause bewilderment than anger or sadness.