There are lots of teams that can claim this if you're using such loose criteria.
NE wasn't even in the Super Bowl last year, how can you claim they "arguably should have won it" Does any team that gets to a conference championship game get to make this argument?
Last two as in 07, 12.... it was close and defense lost it a long with that long wide open welker drop...
Regardless they have been competitive for over a decade was the point being made. How many teams can claim 5 SB's appearances in that span of a decade plus??
Hate them or love them I have a lot of respect for the organization growing up watching joe Montana