Well historically the FG42 was actually the superior weapon to the BAR. The BAR was replaced by the M60 which was derived from the FG42.
Yeah but on the other hand a Fallschirmjäger squad wasn't armed with all FG 42's like in CoH2. At least half the platoon was armed with Kar 98k's and the rest a mix of SMG's and Machine Guns. Admittedly I don't know where the FG 42 fits into that, but I can say for certain it wasn't a primary weapon for every trooper. If we wanted semi-realistic fallschirmjäger, we'd probably get them with MP 40's or Kar 98k's with an FG 42.