Something tells me these freedom cities would be a different beast entirely. Somehow I doubt the UK private towns don't follow the national or local laws of the country.
The City of London (which is not London) is probably the most relevant example here, it's enjoying its own representation in the government, its own laws, its own police force, and functions almost as a separate state in the Kingdom.
Right, but they probably understand civics and aren't dumbass libertarians who think taxes are theft, and that they shouldn't be providing anything for the people that live and work there.
Also, the US has a storied history with company towns. I can promise you that this is not what you are thinking it is. This will be towns owned by massive corporations that will pay people in scrip that they can only use at "the company store."
So imagine Walmart coming in and buying an entire town, and instead of paying the people a living wage, they give them credits that they can only use at Walmart.
Incorporating an HOA or a company making a retirement village is not really the same as Amazon or Monsanto funding some sort of handshake with the state government to make some sort of lawless zone for them to take advantage of.