PBF would run but Cotto would catch PBF early and hurt Floyd causing PBF to run even faster. This is not the same weight drained Cotto of 140.

Run Florest Run!

Weight drained and all, Cotto still put a hurting on Paullete "the Running Man" Malinaggi
What would happen to Paulette if she moves up to fight Cotto? The samething that would happen to PBF if he moved down to fight Cotto