It is moot because Minott is on the deal he is on, which is the minimum the next two years. When that deal is up the Celtics will have early Bird rights and will be able to pay him more should the budget allow and he not get an offer over the Early Bird amount. But he is not eligible for an extension now or any time during his deal, and the Celtics had no ability to sign him for more than the two years they did.
I had him as my wild card for someone who could take a leap, but he has surprised me despite my hopes for him.