Some of the officiating was bad but the Saints knew going into the game that Graham was gonna be jammed at the line and the first 15 yards and it was known that another option was going to be needed this week
FIFY. It's also the reason why trying to pass for a first was more risky than normal at the end of the game, and I don't think people are thinking about it the way they should. All game the Patriots were allowed to grab and shove well past the 5 yards downfield. Trying to be aggressive also relies on not only a receiver to get open and catch the ball, but for the refs to call it fairly if/when the Patriots grabbed them before the ball was there. I doubt the latter would have happened.
Did the Saints have an opportunity to win despite the bullshite? Of course. And of course there are things you can look at to say "well if you just would have done this, you win anyway, so you can't blame the refs." But how about this, if the refs weren't so much in their pockets all game and directly changing the score with their calls/no calls, the plays at the end don't need to be made for the Saints to win.
There's blame all around. Stop focusing on Graham. Stick with the run when it was working. Don't go prevent. etc etc. But it all played into the final score, including the bull shite officiating. Everyone is just quick to give the officials a pass because "oh it's just the fanbase whining about losing", no matter how absolutely blatant the bias was on the calls.