One major omission: George Jones singing "Who's Gonna Fill Their Shoes?" I thought surely that's how they would transition from the "Urban Cowboy" era to the neo-traditionalists. And the movie wasn't even mentioned, though they showed a scene from what I believe was that movie. The term was used in a newspaper article they showed.
They had to cram a lot in that last show, and they probably had a ton of footage to use, more than in previous episodes. There was an interview done with Jones in 88 about that song, and he said he was very happy with the neo-traditionalists, such as Whitley, Travis, and Strait. He felt at that time that country music was in good hands. Unfortunately around that time, his record label was sold, and he was one of the legends dropped (along with Haggard).
Regarding The Eagles, they had a Top 10 country hit with Lyin' Eyes. Conway Twittey recorded Heartache Tonight (partly written by Bob Seger). Waylon Jennings had a Top 10 with Take It To The Limit. In 1993, a lot of country stars recorded a tribute album to The Eagles called Common Thread. So they certainly had a lot of influence and impact on country music in the 80s & 90s.