I live in the inner city. I'm white. My apartment is in an urban area, meaning I'm surrounded more by buildings than well-manicured streets and houses. I live in an urban environment. And we have people of all shapes, sizes and colors here.
When I lived in L.A. (North Hollywood, specifically), it was the same thing - urban (meaning, "of or pertaining to a city," look it up), but much more run-down. Not a lot of black people. More hispanics and white people. Myself included.
Communication depends on a common language to make it work. Just because you've decided that a common word means something different than its etymology - or its definition, even - doesn't make it so.