And he probably could have added at least 1 or 2 more without too much of a stretch, and then a couple more with a little bit more of a stretch. I mean, the only seasons since BB took over where the Patriots weren't a handful of plays away from a legitimate shot of winning a SB were 2000, 2002, and 2009.
In 2005, if Asante Samuel doesn't get called for a BS interference in the end zone, and/or the Watson play is called a fumble out of the end zone, the Patriots possibly win that game, get to play a Steelers team that they had usually played well, and then the Seahawks (whether the Pats would have gotten any ref help like the Steelers, open for debate).
In 2008 if Brady doesn't get Pollard-ed, they likely win at least one more game, make the playoffs (2 wins or a win against the Steelers, gets them a bye), and then who knows.
In 2010, if they beat the Jets (let's say Crumpler catches it or Brady doesn't throw that awful int on a screen or Chung doesn't muff the 4th down snap (or doesn't call it in the first place), they get the Steelers next. While January is different from November, the Patriots did beat the Steelers at Heinz during the season pretty convincingly. The Packers would have been a challenge, but at least a coinflip. They had beaten them during the season, but against Flynn not Rodgers and with some help from KR Dan Connolly.
In 2012, the Patriots were shutting down the Ravens until Talib got hurt, and then probably would have done better against the 49ers and Kaep the 2nd time around.
In 2013, who knows what happens if Talib doesn't get Welker-ed (or Gronk doesn't get TJ Ward-ed earlier in the year)? Obviously, the Seahawks played great against an alltime offense in the Broncos, but the Patriots had played them closer in the regular season.
How many other teams can say they had more than 2 or 3 of these since 2000?
Yep.
2005-06 - Could have beaten Denver, Pittsburgh, and Seattle. But losing in Denver is pretty standard.
2006-07 - Lost to Indy in the stupid flu dome let's turn up the indoor temperature and watch the Patriots melt away a 21-3 lead.
2007-08 - The Scottish Game. Enough said.
2008-09 - Brady injured a nanosecond into the season. Not gonna win it that year.
2009-10 - Well, ok, got decimated by the Ravens and the Pats weren't going anywhere that year.
2010-11 - Shocking loss to the Jets. The Pats were the best team in the league that year and Brady was in peak form.
2011-12 - Another loss to the Giants that shouldn't have happened.
2012-13 - Loss to Baltimore in the AFCCG. Got beat soundly. But Talib's injury was huge. And the Pats were driving in the 4th when Pollard had the helmet-to-helmet hit on Ridley, knocking him out and causing the fumble that sealed the game for Baltimore.
2013-14 - Loss to Denver in the AFCCG. Denver was great that year, no shame in losing that. Plus an all-time great Seattle team awaited, but yeah, NE had played them tough in Seattle earlier in the year (that was the dumb Brady grounding penalty late in the first half).
2015-16 - Another loss to Denver in the AFCCG. Should have had HFA and even then, nearly won in Denver. Would have beaten Carolina most likely in the SB.
2017-18 - Shocking loss to Philly. Butler not playing. Everyone knew the Pats were going to drive to win that game until Brady fumbled at the end.
I'd realistically say the Pats very easily could have won 2 more SBs (2007-08 and 2006-07), and it's not remotely a stretch to say that they could have won a total of 4 more (2007-08, 2006-07, 2011-12, and 2017-18). Brady could have 10 rings right now, and it's not at all a crazy thought.