Your class narrative is not a real world scenario. In many countries (including USA and EU) working class people are pushed out of the cities and into suburbs

Your class narrative is not a real world scenario. In many countries (including USA and EU) working class people are pushed out of the cities and into suburbs or satellite cities as the inner city prices are simply to high and they cannot afford rent. This is doubly true for people with kids or otherwise large families. If they still work in the city, they are simply forced to commute. Thankfully many cities have adequate public transit systems so they are not always forced to buy a second or a third car for the household (notable exception here is the Sunbelt in the USA) and move even further away to an even cheaper house to be able to afford that. It would be a simple narrative if in place of the poor folks moving out of the city, rich folks would be moving in. But that is not the case. In many cases these houses are filled by AirBnB, short term rentals, or simply left vacant by a landlord hoping to rent at a higher price. Most working class people that I know and commute to work by driving would love to be able to leave their car at home and commute with a bus or rail. For them driving to work saves might save them over an hour a day in commute time, time they would rather spend with their family then waiting at a bus transfer. If they could park their car at a nearby park and ride and save even more time, they would. For them, they are not commuting just fine, they are indeed very annoyed at not having a better option.