I don’t know about that. The Burma campaign was all about England versus Japan.
The pacific was only a private war because France and Holland had been taken out by Germany. Most of the places Japan invaded were theirs. Had they still been in the war as more than a guest of England the flavor would have been slightly different. AS it is, Australia and England were very involved.
That’s a good point. I wasn’t thinking of Burma/India as “the Pacific.” However, many of the islands were colonial possessions of different powers - now that you mention it ;-).