If that scenario were to happen I would stick with the club. I'd still know them as my club and if the change was still unpopular when the owner that made the changes left, it would probably get reverted. Owners and investors come and go.
We've had bad owners in the past and dealt with it. The Three Amigos nearly killed us off completely.
No one would rebrand us as East Midlands Jets anyway. That crazy fella at the City Ground has probably already earmarked his team for a name change.