Yes, it actually makes perfect sense. That's why I didn't understand the "NOOOOOOOOOOOO!!!!!!!!!!!!!" that emitted from a couple of Jets fans.
The WORST thing that can happen is Sanchez gets pouty because he's not out there 100% of the time. However, if that's his make-up, you're probably better off finding another option anyway. He has to recognize that he's not among the NFL elite.
Additionally, I don't see Tebow making a stink over wanting more playing time. The fans may but they're fans. They don't have a say in who plays.