That 11x election cycles with at least one of three last names on the ballot is only a record tie.
We had John Adams x4, George Clinton x2, DeWitt Clinton x1, James Monroe x2, John Quincy Adams x2 also a total of 11x.
Roosevelts were on the ballot 8x election cycles but the gap years screwed them. And they were close to uniting with the Nixon 5x streak also with some gaps. And then after one cycle right into the Bush Sr streak. If things shook out just a bit different there was a 19x streak in the cards.
No, most of this is untrue. Ex Presidents can refuse secret service detail. They are allowed to drive on public roads - that is a secret service rule that they can’t but it’s not against the law and Presidents don’t have to follow those rules. And they are allowed to live outside the US if a host country allows them.