Tuvok, my dear, youve misunderstood the changes (as well as some other baseline facts).
1) LMG never had, and still hasnt, a CP requirement. Its gated solely by Muni.
2) G43 and PPSH unlocked at 2CP in the old system. If that had been directly transplanted, it would be 4CP in the new system. This, because the rate of CP generation has been doubled, as a result of which most other Commanders have had the CP requirement for their abilities doubled.
PPSH/G43, however, has stayed at 2CP in the new system (it wasnt multiplied like the others), which is the equivalent of 1CP in the old system. Meaning they come out twice as early now, as they used to.
I haven't misunderstood anything, stop assuming people are stupid and you are the only one that understands basic english, in fact you haven't understood what I wrote.
I will rephrase only talking about new CPs timing:
Implication that PPSH come very long before a single LMG Gren:
2 Command Points (PPSH) don't come as early as you think, you can have an LMG for sure (for what it's worth, might not be the best counter)
Implication that PPSH come very long before a single G43 Gren:
They unlock at the same 2CP