For almost everyone who likes their car, it does demonstrate their own fashion sense. If you don't like your own car, it doesn't.
For example, well into the 1990s, my family hauled me around in a green 1979 Plymouth Volarie. That did not demonstrate my fashion sense.
The car I have now - a 2002 Chrysler Concord LXi - does pretty well.
My *next car* will definitly do so - the 2006 Jaguar XKR.