One of the problems with those HUGE German tanks was they were so big they often had trouble, or couldn't even maneuver, in those narrow european streets which were laid out centuries before the development of the automobile. In the town environment the smaller Sherman actually had an advantage. I'm not sure I agree with thr 5:1 ratio .... seems 2:1 might be more realistic.
I wasn't there, he was, while he agreed with you on maneuvering in tight spaces, forests included, I'll go with his experience on the ratio in more open ground. The History Channel had a program where they interviewed surviving American, British and German tank crews. They all agreed they'd have preferred to be in a Tiger.
There was one segment where they managed to find Allied & Axis combat footage of the same engagement. Bunch of Shermans exiting a village on a road, wooded knoll about 1000 yard/meters to one side with a Tiger in it. Wasn't pretty for the Allies.
. Basically we outproduced the Nazis.
And later improvements to the Sherman & a bigger gun also did help ... a little.
Yep,Yep,, but the hull didn't change significantly...which was why so many war photos showed the Shermans covered with sandbags. In some cases with track segments welded to the hull for additional metal.
Snake, they did a lot of changes to fighters too, but unless you were an engineer, didn't make all that much difference. IIRC, by VJ Day, the P38 was up to the "J" version. Some of the changes to the Lightening were to simplify production, the USAAC having been thoughtless enough to crash the prototype/first production version after a cross country speed record, which slowed development. The bombers were about as bad, the B-17 going through the G series, the B-15 at least to H. The basic characteristics of the item didn't change all that much.