In this movie, they established that the cowboys were less popular because people wanted space men (like Buzz).
So, the only way Woody's Roundup could have survived would be if they somehow created a... I dunno... Space Cowboy type show.
That show would *never* get canceled.
The original plan from the beginning was for the series to run 26 episodes but various issues forced the staff and network to air only select episodes. They were able to air the show in it's entirety on a Japanese satellite network later on. We were both right in regards to Cowboy Bebop.
So, the only way Woody's Roundup could have survived would be if they somehow created a... I dunno... Space Cowboy type show.
That show would *never* get canceled.