You don't have to do anything to keep your American citizenship. You can't get rid of it without a significant amount of effort.
A lot of people that get rich because of America would just drop American citizenship once they do get rich to avoid paying back into the system that allowed them to become successful.
There is no other country that offers as much upward mobility as the US to its citizens. Hence the tax.
But yeah that also wouldn’t require coming back to the US necessarily