Well, sure, there are ripples right, left, and sideways...
German troop deployments would probably be different as a response to different Allied movements, so the Canadians would be facing different odds than OTL Americans did. Plus we're creative (night assault with tanks for instance).
Well, sure, there are ripples right, left, and sideways...
My point is, after the basic task of getting ashore and connecting the beachheads, the Allies - no matter who lands where - have several tasks:
1) Take the Cotentin and Cherbourg (need a port, and Cherbourg is it, essentialy);
2) Take (ideally) Caen and the good ground around it as space to deploy and sustain an army group+;
3) Get the ell through the bocage;
4) Break out - south toward Paris AND north toward Brussels.
At that point, once mobile warfare is underway and the realities of getting to Paris and Brussels (road and rail nets, if nothing else), as well as the Scheldt-Antwerp and/or the Channel and Breton ports (the Allies needed some combination, obviously) there are all sorts of possibilities, but 1-4 are pretty much a given.
So, the question is, given the river lines, rough/easy country, and the liklihood of where the German defenders and reinforcements will be (7th Army and PG West in Normandy, 15th Army from the north, odds and ends from 1st and 19th armies to the south, and whatever can be scraped up from points east) means - roughly - the initial Allied army group for the assault (21st, historically) will be split by about M+60-90 into two army groups (21st and 12th, historically), one of which will be moving (more or less) northeast into Belgium and the other (more or less) east into France.
Given the distances, something approximating a breakout on each front is probabaly going to be necessary, and once those occur, something akin to the Falaise Pocket will be created (frankly, because the majority of the German units, even in 1944, were leg infantry, whereas the majority of Allied units amounted to motorized troops - certainly in comparison to the Germans).
So the point is, for the Allies to get from the infantry campaign in Normandy (the assault itself and the follow-up) to the mobile campaign in France and the Low Countries, odds are the US force and the British & etc. force will each need a "mobile" army and an "assault" army...
But the reality is that while the US managed that, with Hodges' 1st and Patton's 3rd, the British really didn't - Dempsey's British 2nd did double duty, and Crerar's Canadian 1st functioned largely as an infantry-centered army on the Channel coast, the Scheldt, etc.
There's a reason Simpson's 9th US Army was assigned to the 21st Army Group, after all; Montgomery's forces could not have covered their section of the line, otherwise.
I'd argue that to
really take advantage of the situation in NE Europe in the summer and autumn of 1944, both army groups needed three field armies assigned - two in the line and one ready to act as the flank/mobile force.
The thing is, with two field armies (British 8th and US 5th in Italy), the Allies did not have the strength to do that.
And the 6th AG (US 7th and French 1st) was necessary to open the French Mediterranean ports and clean up the German 1st and 19th armies, so Devers' troops were not an option.
Best,