Yeah it would explain part of it but bear in mind that US infantry divisions were supposed to be flexible formations that could have extra units attached, stuff like tank and tank destroyer battalions or heavy mortars etc. So it should be rather rare for a bare bone division to fight alone.
A US WW2 era instructional video has an interesting comparison of the Garand v the BAR https://www.youtube.com/watch?v=CfaL...ailpage#t=539s
In other words one BAR gunner is equal to five riflemen. A MG42 might do two or three times the ROF in the LMG role, so one MG gunner could have (if we accept the perhaps simplistic argument of a linear effect from an increase in rate of fire) similar firepower as a full US infantry squad. Perhaps it is no wonder that they nearly doubled the number of BARs in companies after D-Day.
So although US infantry had a superior rifle I would still say the Germans had a firepower advantage at the lower tactical level.
I do believe there might also be some differences in defensive doctrines, although I don't know enough detail.
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