I still don’t understand the point of the race angle. Insofar as “urban” is undesirable because it’s a euphemism for “brown,” why would “brown” people be striving to move out of urban areas themselves? Bangladeshi immigrants don’t mind that Queens is full of other Bangladeshis. They mind that it’s crowded, you don’t have a big back yard, you have to walk everywhere, etc. The things you mention—shared housing, non-residents traveling though, aren’t things that “brown” people like any more than white people.
I think you’ve got the causality reversed. Most people, regardless of race, find suburban living more pleasant and more convenient. Urban areas tend to be more “brown” because that’s often where immigrants start out, because “brown” people tend to be younger and lower income, etc. Thus, whites are more able to attain the goal of suburban living. But it’s misleading to make it sound like the suburban preference arises out of white dislike for “brown” people, because the preference seems pretty uniform between races. (If anything, affluent people who prefer urban living are more likely to be white, judging from the demographics of gentrification.)
Urbanists have a good point that the suburban preference might be different if people in the suburbs were forced to bear the externalities of their lifestyle. But that has nothing to do with race.