They still use air traffic controllers, which is a government paid job if I’m not mistaken. The government would also back them up if their private jet or heli encountered an emergency and had to land due to a failure with the aircraft. The government regulates when and how their private planes have to be inspected and ready to fly. The government provides the water that the employees that gas up and maintain the aircraft use, and the roads that get them there.

So they may believe they don’t need the government, but it’s a big part of almost everything we do everywhere.