Rather than having one bot team that is generic, I think it would be better to remove all players from all bot teams. Then when a bot team plays another team, all 5 spots will be filled with lucky fans.
The bot teams are supposed to give some sort of meaningful game for teams that they play while not being good enough to actually compete heavily with any active team. The current bot teams achieve that (unless there are some long-term abnormalities with some bots, in which case they should be fixed - a separate issue anyway), lucky fans would simply fail. Just imagine playing in a bot league against lucky fans. It's bad enough to play against current bot teams. We want new managers to stay in the game. Most of them won't have any wacky ideas like "oh, now I have a great chance to train and collect money". They want meaningful games to stick around.