I suspect that at least some of the board-games you play (further edit: if that is where your 'Average alternate universe outcome' numbers come from) fail to properly represent and model Mountbatten's ability in the real world to utterly mess things up - and Mountbatten was very much in Europe still (and the man with responsibility for (or at least oversight of) the original timeline 'Operation Jubilee' Dieppe raid) in 1942 in the original timeline.Average alternate universe outcome there is the US Army acquires earlier experience leading it to reach its eventual effectiveness of 1945, but at the end of 1943.
Edit:
Apologies, but I'm not sure it's possible to keep Mountbatten out of the way of getting involved in a major 1942 French landing. He 'knows' too many people.
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