As others have mentioned, there are numerous newer examples of public toll roads, all local or regional, under the authority of the local/regional mobility authoriy.
You are 100% correct. I got ahead of myself. Massachusetts Turnpike Authority is 100% governmental. But the Massachusetts governor doesn't control them and they often do whatever the heck they want: after all, they have their own revenue stream to play around with. It's a private fiefdom for those who run it who hire their friends and political allies to work there. You have to be "connected" to get a toll takers job there. The compensation is v good
With a private design-build-operate-maintain, none of that happens.