LOL, reading the OP made me think about what my mom and dad have done in said situations. They will literally chew out a shitty waiter/waitress for shitty service....so a tip is totally out of the question.

My mom and dad won't shy away from making a scene. But don't misunderstand: they're not "ghetto". Far from it actually. My dad is in politics so there's no loss of composure or anything (or neck rolling from my mom,

)
I've never heard of the actual phrase "black man's burden" before, but I have practices its principles a few times in my life....but usually, that's just me trying to be a good person, not an attempt to represent black people (usually

).
But when it comes to shitty service: me? Shitty service deserves a shitty tip (if one at all). If the waitress is delusional enough to think that her crappy tip is because of a stereotype instead of her shitty service then fuck her. I'll be damned if I waste my time trying to change the mind of some idiot who 1) can't do their job right, and 2) thinks they should be rewarded it.
Great service? Then the "black man's burden" possibly comes into play. "I provided excellent service and they still didn't tip me! Those damn negroes!"