Volks cannot push BAR'd rifles or 7 man cons. Not unless you're blobbing up to the cover and pray he doesn't dodge a flamenade.
I meant in support of the HMG 34. A flamenade will force any infantry away from the heavy cover and the HMG 34 will suppress them the moment they do, unless you get unlucky with the burst/reload timing etc.
OKW has plenty of good cost effective mobile infantry to deal the damage, and a mainline that can deny the enemy cover. They don't need a high DPS HMG. The HMG 34 does what it needs to do (suppress) just fine and there's no reason to change this dynamic.