I'd quibble with the title. Based on my experience in London, most middle-class/white collar workers love car-free living. Most blue-collar workers don't like it. They continue not liking it once it becomes reality. (Although maybe they realize that it's not as bad as they feared).

I think this is basically another example of political polarization, combined with employment patterns. White collar workers broadly speaking place a higher value on their time and mostly belong to "tribes" that value their health and environment. Removing cars is great for that as bikes give control over journey times (and in most cases in e.g. London reduce them) while positively impacting the other.

Blue collar workers may not be able to do their jobs with just a messenger bag containing a laptop and airpods. Also, their political identity has been dragged further towards the radical-individualism end of the spectrum where collective action on e.g. environment is hard, and trust for bossy health authorities telling them to exercise more is low.

The slightly strange side effect is that you end up with an item which is way cheaper (a bike at e.g. school dropoff vs a car) that becomes a signifier of social status. I am sure there are loads of examples of this phenomenon but none spring immediately to mind!