So that's a weird one, but you've cited two examples where the franchise has undergone a rebranding upon relocation -- the Thunder and the Pelicans. The Thunder, by the way, still hold the rights to the banners and the championship trophies and any retired numbers, so it's not like they're not clinging onto the Seattle legacy, they just don't display it because, you know, they stole the team and don't want people pointing that out.
For the Pelicans + Jordan's Hornets, the agreement is that the history of the team in NO belongs to the Pellies, while Charlotte can lay claim to everything that happened in North Carolina... but that's an amicable split, and as a result, it's the exception to the rule.