That Last game vs Atlanta may determine the division/playoffs

I would.

If the Saints ended up winning the division (which I don't think they will, I think TB wins it), they'd be the 4th seed, which means they'll get to play the highest wild card, which means either the Eagles or Dallas: they are both 3 games ahead of anyone else not leading a division, so with 4 games left, the overwhelming odds says one of them is going to be the 5th seed.

Regardless of what happened 13 years ago, I have not seen anything in this 2023 Saints team that tells me they can beat the 2023 Eagles or the 2023 Cowboys. But I can see either the Eagles or the Cowboys coming into the Dome and embarrassing the Saints on national TV. And frankly, the way things are, I rather the Saints not go to the playoffs by virtue of being the best team in the worst division, and then get embarrassed at home on national TV.
Chicago beat Detroit yesterday and the Jets beat the Eagles. Any given Sunday !