Right, but the state does not mandate you receive insurance from a single company. You could, should you do desire, set up your own insurance company. There are open regulations that can be obeyed by anyone.
TSA Precheck is administered by the TSA AFAIK, which is a DHS agency, not a private corporation. It's been a while since I signed up but IIRC it's run by the government.
I actually believe that if Aramark (I assume that's who you meant by Aeromark) didn't let you visit Yosemite and you legally are allowed to, you'd probably win against them in court (in contrast to what's happening in Sweden).
TSA precheck is run by private corporations - the TSA are of course the people that operate the actual airport, but the corporations are the people you sign up with that assess you.
Aramark (you're right, my mistake) couldn't ban you from the park, but they could definitely ban you from their campgrounds. So you could drive into the park, but you wouldn't be able to camp in most of it (except for backcountry).
I'll grant you the competitive marketplace for insurance, though I'm not sure it fully eliminates that point.
TSA Precheck is administered by the TSA AFAIK, which is a DHS agency, not a private corporation. It's been a while since I signed up but IIRC it's run by the government.
I actually believe that if Aramark (I assume that's who you meant by Aeromark) didn't let you visit Yosemite and you legally are allowed to, you'd probably win against them in court (in contrast to what's happening in Sweden).