Yeah, at least it made some kind of sense to have Italian units be German recasts; we know they have to cut some corners here and there, and the Italians DID use a good bit of German equipment, especially the Italian Social Republic toward the end.
It would have made so much more sense to give the French US units, as at least in the late-war period the Free French made extensive use of US gear. (Free French forces liked to wear their Adrian helmets as a distinguishing feature out of national pride, but even this was limited to what they could scrounge.) Leclerc’s armored columns, for example, rode into Paris in Shermans.