I'm currently reading a history of the landings in North African (Desperate Venture), operation "Torch" and it is amazing how many differing factions there were that tried to lay claim to the "legitimate" government of all France, including overseas "Departments". So in truth, the allies didn't know who to turn to in regard to the "government" of France. The UK had its man in de Gaulle, the Americans favored first General Giraud and then Admiral Darlan. While the Germans and much of the world recognized Marshal Petain (who the USA had officially recognized as the true government of France) and his Vichy government! The allies didn't know which side units of the French army and more importantly it's navy, would take order from. In short is was one big mess. On the Dutch side however there was no mistaking anyone's position, the government in exile was in control of the colonies.
I'll have to check that one out. I am currently listening to audiobook, "Last Lion" the final volume written by William Manchester on Winston Churchill. He does go over the issues of De Gaulle. The fellow lacked diplomacy with respect to Roosevelt in particular. He was not liked at all by Roosevelt during the war and actually not respected much. I think it could be said that Deg Gaulle had that A typical french snobbery attitude that didn't fly well with the Americans who still saw France as a defeated nation.
I would recommend for any player of WITP William Manchester's autobiographical "Goodbye Darkness." This is an absolute must read because you had a genius (Manchester) who went to war as a marine raider, and came back to be a prolific writer. So his ability to portray the war as a common soldier, and illuminate the larger perspective, was/ is astounding. Manchester passed away a few years ago. So his final volume of The Last Lion had to be completed by a co-author post mortem, or whatever they call it when something is finished after death, oh yes, post-humanly, or something like that. Manchester also wrote "a world lit by fire" an amazing account of the middle-ages. He also wrote " American Caesar," a book I am sure many here have read.