Double Elim...

It's single elim or double elim.
Signing up for double means you get a second chance.
That option should be entitled to every team.
Especially the team that has battled through to the final without any loss.

Well put. On what grounds can you argue that every team gets a second chance -- except the team that has made it to the final bracket without any losses? That team only gets one chance? Utter nonsense.