The idea of the UK starting with an Industrial Complex in India is one my gaming group has discussed recently. It would definitely make the South Pacific Theatre more active and interesting.
People say this change gives too much of an advantage to the Allies, but I feel as a whole the Axis are stronger in 1941 and the game could use some balancing. These are both points you brought up, so I’m glad to find someone similarly minded.
Also, as has been mentioned on these forums, what if UK got to choose the starting location of their free Industrial Complex? It would make every game feel different. Egypt, South America, India, Australia, and the East Indies are all examples of where that starting Complex could go.
Finally, my group has also implemented simultaneous turns to allow the games to feel more fluid. Instead of Germany, USSR, etc. taking their turns separately, all the Axis Powers go together and the Allied Powers go togeher. This greatly speeds up the pace of the game and allows for more joint strategy.