Maybe the difference is this:
People in Chicago know what Chicago Style pizza is, even if they don't prefer it
People in Detroit have no clue what Detroit Style pizza is, whether or not they prefer it
Seriously, I have not gotten anything other than a
when asking if anyone knew what Detroit Style pizza is. And I work less than 1/2 mile from a Buddys, too. One would have thought that, after 70+ years, the name might have caught on at least a little.