You're getting caught up in a narrative that isn't accurate. I would say that Belichick is getting exposed as not being good at team-building without a quarterback who can make up for the philosophy they've tried to follow when it comes to opting for average talent vs adding impact players. I mean, I get mixing average guys in, but not having at least one impact player at all is just ridiculous. I'm sure somewhere the argument internally with him has been made that, "we didn't win with Moss or Welker" which - while true - happened prior to 2010 before the league really shifted.
Tom was clearly an anomaly, and Belichick's philosophy with the offensive side of the roster is 100% the problem. So I would say his presence exposed that, but the rest is just nonsense. As I said, put Belichick on the sidelines with the rosters some of the teams that have gotten bounced in the postseason in recent years, and I'd be willing to bet it's a different story.