If you lose the first MG, you lose the game? Is that true?
In my experience, even at the top level of play it happens, usually on retreat because of the length of time it takes to pack it up. So a player may see the flank opt to retreat instead of re-positioning and still lose the MG to a flame crit or whatever.
Once a Sov player has your MG on the maps with cut-offs it will come back with 6 guys and park there with 3-4 SMG cons around it

Yeah, that's GG. You might be able to get out with a mortar, but you will be outteched.
Now compare to that getting your cutoff camped on North Langres as Soviets - I have come back with multiple snipers from that kind of cutoff camp because I am causing him such manpower bleed that I can eventually still catch up and have enough AT out to deal with the PzIV or whatever. The T34s will probably outnumber your PziV 3-1 if you do manage to come back from that situation as Ostheer. Or Katy + SU85, multiple SU76s, SU85 + T34/85, same impossible situation.
I think a solution could be to lower MP reinforce costs on Ostheer squads...Pgrens 45MP a dude, when they get wiped as easily as a gren squad from mortars, snipers, etc., is just too much. But generally the MP bleed as Ostheer is so severe that comebacks are very difficult.