Good players and good athletes will be successful in the NFL regardless of collegiate scheme so this doesn't mean a whole lot (see all the talent Saban sent to the NFL to a variety of teams with radically different defenses).
I think the big factor with Belichick, much like Saban, is more the preparation/work ethic needed/fundamentals of what the NFL demands married with techniques and knowledge of what an NFL system demands mentally. It may not necessarily be a 1:1 perfect scheme fit match from UNC to say the Seattle Seahawks or Green Bay Packers or Indianapolis Colts or Denver Broncos.