I don't know. Maybe they would, depending on the circumstances. Coaches use all sorts of gimmicks to motivate or build a program.
We seem to forget that UF football has not exactly been firing on all cylinders over the past decade. We can pretend that winning the East is beneath our dignity but it is better than having a losing record or not getting to Atlanta....both of which have happened recently.
If this helps build the program, either to point out what is still needed or as an incremental reward, then go for it. I continue to maintain that some folks are making too big a deal of it. It's just a ring (or t-shirt) or whatever.