If you remove great teams from the equation you don't have much of a GOAT discussion on any level, especially football, where no one player can win a championship.
Much as I want them to win another championship for my own pleasure my biggest reason for wanting to see it is that it would cement both and Brady as GOAT. Brady gets one more and there simply is no way around it, his numbers simply trump all those in the argument. Belichick is a tougher argument to sell but with 4 rings and his dominance in an era built to prevent domination ultimately win the day IMO. Lost in all the flak he has taken over "poor drafting," not being aggressive enough in spending, and not having won another championship since the 3-4 run of 2001-2004, is the fact that he has had 3 teams incredibly close to winning it all, and has somehow managed to completely overhaul a dynasty and never drop kout of contention, all while having to pay the players who made them successful or let them go, and draft at the back of the pack year after year, in terms of their slot, not their manueverings. If the Patriots win a Super Bowl with Brady at QB then it may well be the first time in NFL history that a coach has won a SB, replaced 52/53 players and won another.
I don't believe the Patriots are the best team in football right now or yet, but I really believe they are about to be and could be one if the 2 best teams in football for the next few years. If so then both these guys have a great shot at being GOAT.