I think, at least until the current 14 team format where only the one seeds get a bye, the Saints were the only team to win 13 games and not get a bye. Happened in both 2011 and 2019.
Nah, '99 Titans went 13-3 and were bridesmaids for the 14-2 Jags. Also of note is that the '87 Saints likely woulda been another 13-3 wildcard team if not for the canceled week that year since the niners were 13-2 and we were 12-3.
Fun fact: That season, counting playoffs, the Jaguars were 0-3 against the Titans and 15-0 against the rest of their schedule.
Lastly, tonight's game wasn't 100% inconsequential, just very close to it. By winning, the Lions still get the 1 seed with a tie against the Vikings but the Vikings woulda gotten the 1 seed with a tie had the Lions lost. I have such a seething hatred for the Vikings that I'd love nothing more than to see them finish 14-2-1 just to have to go to Tampa and get smoked like a cheap brisket.