Government administered healthcare has better outcomes and less administrative overhead than privately administered healthcare. Look at privatized firefighters for another example. Government is always on the forefront of messy expensive and complex systems and yes it could be improved but if half of it wasn't trying to deregulate the other half out of existence we could probably bring some more resources to bear on the problem more efficiently.

The problem is that profit seeking enterprise explicitly doesn't serve human values and that's by design.

Also psychiatric commitment isn't necessarily forever and has a restorative focus.

I don't want government run companies unless they are utilities, and even then, I still want them to be owned by the population, not a handful of people.