Yeah...
Can't we just replace every OKW infantry squad with the same 3 model squad that comes either with G34, Panzerschreck or StG44 and whose size can be upgraded to 4? Costs could be 200, 300, 300 respectively. The StG44 squad comes out of MedicHQ and the Panzerschreck squad out of MechanizedHQ... *cough* Worked once, can work again.
How would you repair vehicles and sweep mines though? Like this idea is flamin' and I love it, but I think the only way this would work if there were lots of cheap global side upgrades for this hypothetical infantry unit.
And what would you call it? Stormtrooper? Panzerfusilier? If it wasn't taken Panzgrenadier would fit because these guys would be elite and have to repair.
Try this in a mod though, really solid suggestion.
@Mr.Someguy:
Technically Shock Troops are Engineers. Plus the definition of engineer is to build or maintain something, which they do: mines and reinforced barb wire.