Wouldn’t it make more sense for the Kingdom to become Brandenburg in 1701 since that is where the royal house originated?
See these two answers by u/voransaka and u/kieslowskifan
https://www.reddit.com/r/AskHistorians/comments/3ps4sv/comment/cw8ziot
https://www.reddit.com/r/AskHistorians/comments/5y3mxx/comment/den6xk8