The bridge didn't have extra stations because they didn't want a bridge full of control consoles. It was the whole "technology unchained" idea: with all the high tech, you don't need a bunch of people sitting at stations all day. The rear stations were they for the odd times they wanted/needed them. It wasn't a matter of money, 4x3 considerations or whatever else you want to invent.
And you don't need a wide set to shoot widescreen, you just have to know how to frame a shot.