Never mind "deserves" or this moral responsibility to the Patriot Way nonsense you are spewing.
Firing a coach mid-season accomplishes nothing unless there is a significant mutiny in the locker room which needs to be resolved (see the Raiders).
Yes- Bill needs to move on but for none of those reasons right now.
They have been a few plays away each game except DAL and NO. That is also not a reason to fire a coach mid-season. They just suck.
Between now and January 7th Bill's job is to guide the team through the next 8 games with class and to a top 5 draft pick.