a) Time Bandits which offered a homage to Alien in the form of the head gear worn by Darkness that resembled a Facehugger was a movie that made Terry Gilliam a success. His film Fisher King premiered in 10 September 1991. Alien 3 was in production since January 14th that year. Vincent Ward had tried to make an Alien 3 that soon as the production was on the verge of starting in England, suddenly revealed itself to be Monty Python-esque, and not quite what they wanted.
b) Terry Gilliam mentions that he was offered an Alien sequel, as a result of his success from Time Bandits and The Fisher King. Because of the timing, one might assume that he was offered Alien Resurrection. However he was not happy about the idea of doing a sequel. He considered them factory jobs, working for a studio, and he remembered that his last factory job was in a Chevrolet assembly plant in Los Angels, during his junior year of college, night shift on the line
- Terry Gilliam: I got offered an ‘Alien’ sequel because I was hot at that time, as a result of ‘Time Bandits” and ‘Fisher King,’ and I just don’t want to do films like that. They are factory jobs, working for a studio. My last factory job was on the Chevrolet assembly plant in Los Angeles, during my junior year of college, night shift on the line. Never again.” (KVIFF 2018: "Terry Gilliam Dreams the Impossible Dream" by Matt Fagerholm July 5, 2018 ) https://www.rogerebert.com/interviews/kviff-2018-terry-gilliam-dreams-the-impossible-dream)