Didn't know that - indeed an argument for them to produce a 5-hour Today show which broadcasters dip into as relevent (i.e. the East Coast air the beginning, the West Coast the last couple of hours and everyone in the middle as is relevent).
The Early Show on CBS did that and station ended up preempting large chunks of the show.
The problem with your idea is that not all hours start out a like. Viewers would be upset if on the west coast tuned on 7AM at got Kathy Lee and Hoda when they want news. A MAJOR consideration why that wouldn’t work is because in order to be Nielsen ratings a percentage national advertisements and the program have to go out in full*.
When NBC sells ad inventory or claim victory they do so against the 7-9AM hours.
* There was a article in The New York Times about how they manipulate ratings. One thing Today did on a week where there isn’t much news is they top loaded the show with national ads up until 8:30 after that it was local. It enabled them to claim victory. Good Morning America changed their name in Nielsen books to something like Good Morning Americ so I believe the show wouldn’t be judged against the other networks.
Don’t let anyone treat you like you’re a VO/SOT when you’re a PKG.