I inserted British Commonwealth into those sentences about the North African campaign and the makeup of the Eighth Army In fact I have fought for quite a while to have British Commonwealth used in WW articles when it is factually correct rather than the technically incorrect British Empire or British and Commonwealth Its an ongoing battle Use of British Commonwealth in infoboxes is justified in cases such as the British Pacific Fleet active in  Commonwealth Corps invasion of Japan and the st Commonwealth Division in the Korean War where units were specifically organised along those lines However in the Pacific between mid and early  the UK representation was almost negligible a couple of RAF squadrons and some armynaval special forces the South West Pacific Area command under MacArthur during  was almost  Australian New Zealand was the second string in Nimitzs command the Pacific Ocean Areas command and in the Aleutians campaign it was all US and Canadian forces Use of British Commonwealth in such cases or at the global level conveys two false impressions that the British were somehow involved at all times in all theatres and that the British Commonwealth was a primary militarypolitical organisation when the forces of a particular Dominion were very often alone in joint commands with the US Therefore Allies and Allied make more sense and are more accurate than British Commonwealth or any of the anachronistic alternatives