I had season tickets back then and was as into the pats as humanly possible. My memory of that year was the team was that they had something going and that maybe they were going to be...? Then they hit the game against the Rams and even though they lost I felt the whole stadium came away thinking something along the lines of watch out of this team makes the playoffs.
I was at that game. That was my first game in quite awhile. I was a sophomore in college but on Co-op (Thanks Northeastern!) and my dad and a friend just started going together quite a bit to games. It was a night game, they had to work, offered me the tickets and me and a buddy and I went down on the train for the game. 100% agree with you, they lost, but it was a moral victory. "Damn, if they can hang with the Rams, maybe we have something here" and as they said in the show, they fucked up about 5 times massively and still were in it.
In college we watched football all day, one of our good friends was a huge Rams fan (from there, not a bandwagon) and it was all Greatest Show on Turf all the time, then that game happened. Maybe the best losing game I've ever been to.
Also, it's jarring what a dump the stadium was. I'd been to games there, was at that game, was at the Snow Bowl, remember the benches, hell even one game I went to when I was younger we saw Kraft up in the 300's after he just bought the team. I remember it being a dump but watching it last night it still stuck out.
My only nitpick is interviewing the stupid fans like the silver faced guy or the other idiot with the PATS FAN license plates. Super fans are the worst. As long as Jake from Boston doesn't show up I'm good.