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.
As long as it's clearly stated and not applied selectively.