Sure it is! It'll make the less priveleged person give them cookies for being a good ally, and they'll feel better about themselves!

</ cynicism>

This kind of reminds me of a discussion I had a few places after the Orlando shooting where well-meaning allies got upset because other queer people and/or I were making it "all about gay people" and not respecting that "we're all just humans," so we should try harder to include them and comfort them. I mean, I know it comes from a place of good intentions, but... WTF exactly is "don't worry, I'm not a bigot!" supposed to do for anyone who's actually being oppressed?