I can see how you might feel this way but have you ever visited NYC, London, Moscow, or Madrid? All are good counter-examples of your supposition.
My country has been actually slowly de-urbanizing for the past 20 years or so:
https://data.worldbank.org/indicator/SP.URB.TOTL.IN.ZS?locat...
It's an exception to the rule in the region, but a significant one.
Affluent people, who could afford cars, moved out to have more living space in exchange for having to drive everywhere. A more recent version of this is just not being able to afford an apartment in the city - those people opted for what must be the weirdest type of housing there is - an apartment in the middle of nowhere.
Statistics say that indeed it's still the rich who drive.