This idea that "it's your job to win no matter what" is very intellectually hollow. Why do you think we have rules? One team blatantly broke the rules and it was allowed, but the Saints should...overcome it for some reason?
What if the NFL had suddenly decided "Actually, home team gets the W if game is tied at end of regulation—Saints win." Would you be blaming the Rams for having not "won no matter what"? "I know the NFL created some BS rule out of thin air, but the Rams really should've won no matter what."
All this is to say the Rams played a great game, but y'all have to accept that the Saints were robbed, no ifs, ands, or buts about it. That's not so bad...you're in the Super Bowl, enjoy it.