I really can’t see an instance where someone would check the box saying they’d be willing to give up the name.
Maybe I’m wrong.
Once I name a toon, last thing I think about is ever giving it up. At that moment, it’s the greatest toon I have - and I’m extremely proud of everything from the powerset, to the costume, to the name.
Once I’ve played it awhile and moved on to the next greatest ton, I’d be willing to discuss the name. But before that, I can’t imagine coming up with a better toon.