""Public" and "instutionalized" have become synonymous with "state controled".

I prefer "Government" to Public, which is kinda captured in the State Controlled phrase.

Government Schools.

Government Transportation.

Government Health.

Government Discourse.

Moderately related side note: The Customer in, say, Government Schools are no longer the Parents - if they ever were; it's a parent's job to Educate their children but most of us don't have a Chemistry Lab, nor are conversant in Latin, nor can they field an entire Orchestra.

Now, the customers are the Teachers and Administrators - the Government Employees. That's who Government serves. Not We the Little People.