There's also the aspect that a government-run program can be subsidized so that those who can't afford it can still use it.

Private entities are far less likely to provide that on their own. And when government starts subsidizing business or giving tax cuts for behavior, then things get wonky, too. Like when the company pockets the money, and doesn't provide the service. Like what happened with broadband:

https://www.huffingtonpost.com/bruce-kushnick/the-book-of-br...