But that's the problem with bias in general, though— It's always a matter of practicality. It's been some time since most discrimination deliberately stymied people with a background or makeup the dominant culture considered objectionable. These days it hides in the subconscious mechanisms governing the purportedly rational generalizations we rely on when lacking time and resources to properly investigate something.
I don't think it's anybody's fault— it's a bug in our brains and we can't control that. I do think we're ethically obligated to push back when practical requirements compel us to make those generalizations. If we expect police to do it when someone may or may not be pulling a gun out of their pocket, we should certainly expect ourselves to do it when we've got a queue of resumes to process.