It is admittedly a misnomer to refer to it as LMG/MMG/HMG since the Germans regarded it as a general purpose machinegun that could take on different roles, and did not have a purely dedicated one. The same is true for the MG 42.
However, for game terms and convenience, it makes a lot more sense to just list it as an MG34 MMG or MG34 HMG rather than trying to force the game to display "MG 34 mit Lafette"
