For example in Poland we got the most expensive toll motorways in Europe because a private company owns them and continues to demands exorbitant prices for passage with nobody to stop it.
Private company with motive different than maximum profit. Motive: not to get subsumed and punished by the government allowing them to do this...then second motive is maximum profit. That primary motive one is an important one in all of these non-competitive industries, and can't even have a private vs public discussion without including it. Otherwise, it's just corruption/apathy and it's a different problem.
Better to have these huge number of interconnected roads maintained by one group responsible for them.
Toll roads wouldn't be efficient if 5th-18th ave are toll roads (operated by multiple companies/agencies) and then Fst-Hst and Ost-Xst were also toll roads. You'd never be able to get across the city.
We still have universal healthcare though.