In WW2, the Germans had by far the better squad machinegun. Nevertheless, it had a severe drawback to its excellence: It required a highly-trained operator to be at its most effective in the field, and that operator had to be supported by at least one assistant (while the BAR could be operated by just one man).
Oppositely, the US soldier and, after 1942, the Marine of WW2 was armed with by far the better battle rifle, and was given sufficient training to allow for its very effective use.
On a side note, it has been observed about the three premier bolt-action rifles of WW1 and WW2, that the Germans were armed with an excellent hunting rifle, the Americans were armed with an excellent target rifle, and the British were armed with an excellent battle rifle. (The French were armed primarily with the bayonet.)