Its not really a rumor anymore.
The team had till the end of this season to decide on the LA move. They have nothing in place for a new stadium in SD. It is a done deal.
I'd be amazed if they don't keep their name. The league isn't expanding anytime soon. They started as the LA Chargers anyways, if even for just a tiny amount of time. They aren't nearly as important to league history as the Browns were.
The real fun battle this offseason is gonna be that whacko Mark Davis trying to move Oak to LV.