At the moment you’re able to rent a private server for a game that makes use of teleportservice across various place slots within one game. However the use of PrivateServers has some small inconsistencies.
Right now if you own a private server at a starterplace of a game universe, the PrivateServerOwnerId will not get transferred to any of the other places you teleport towards, since teleporting from the starterplace. I would expect this data to also be brought over onto any of the other places people teleport to when using a private server.