Those big spikes you see in the center? They cost very little for the city to maintain, and generate oodles of tax money.
Those big, wide areas out towards the fringes? They generate next to no tax income and cost a lot to maintain.
The urban subsidizes the sub-urban. The sub-urban lifestyle would be completely impossible without the ultra-dense urban centers. If planners and citizens don't keep that in mind, you can easily end up with an insolvent city budget that is bleeding from maintaining all the utilities and roads stretching out to the exterior.
I also have no idea why you think city dwellers are the primary contributors per capita to the Highway Trust Fund which is funded via a tax on fuel (i.e. miles driven).
I’ve had this hypotheses for a long time that the car is, at least economically, only incidentally about mobility. In reality it’s a tool for obtaining leverage in the real estate market.
Without sprawl urban landlords would have a captive audience and would extract all surplus. See: the law of rent.
I have a related hypothesis that the car drove the mid century middle class explosion in the US and some other countries, not by providing car jobs or any of the other conventional mechanisms but by allowing people to escape the law of rent.
Telework does this today for those who can use it, allowing people to leave high cost cities where good jobs are concentrated. The car did that until we reached the scaling limits of sprawl.
Also why I am a huge fan of Georgist taxation. Unfortunately we are moving in the opposite direction, taxing productivity and investment and wealth instead of taxing land and rent.