Agreed that team names, team history and team accolades should belong to the city that earned them.
I find this moving elsewhere and taking all the history with them to be weird. I hate OKC having Seattle's history. I hated New Orleans having Charlotte's history (Alonzo, LJ, Muggsy, G Rice, A Mason, Vlade). I was very happy when New Orleans returned the name and history to Charlotte where it belongs.
Now some things are just too far in the past. I wouldn't bother correcting them at this point. The Jazz for instance are synonymous with Utah at this stage due to great success they have had there (largely with Stockton and Malone). It would be wrong to take their name from them. But I would like to see a change to ensure this no longer happens in the future.