The irony is they made cuts to not make huge sets except for the Sail Barge and to do mostly a US shoot for locations and it still went over budget. So reducing it to one death star instead of two, removing Had Addadon and the Wookiee Planet didn’t prevent it from going over. Though the original budget if it had been filmed as is Revenge of the Jedi would have cost like 50 million. Howard Kazanjian got it down to 32.5 million and Lucas was still unhappy.
Part of the reason of Lucas wanting to push digital cinema and cgi was to bring the costs down. He would have shot Jedi like he did Episode II and III if the technology had been available. Or rather he would have had Richard Marquand do so.
Even by the time Menace happened he didn’t have the tech ready.