Question about Connecticut Sun name and history after leaving.

I’ve been wondering with the Sun leaving to Houston to become the Comets, will the Sun name and history remain in Connecticut/New England or will it be owned by the new owners of the Comets? Basically will it be like a Houston Oilers Tennessee Titans situation where the ownership takes the name after relocation? Or will it be like a OKC Thunder Seattle Supersonics situation where Seattle can regain the name once they get a NBA team again?