If conscripts get, 6 ppsh as they should the weapons need to be toned down since they will have more DPS than units like the assault grenadiers.
Your suggestion was interesting to me so I would like to dissect it a big and lay out why I think it wouldn't work, because I've had similar ideas when brainstorming ways to add more SMG's to Soviets.
(Seriously, it's a crime that the faction that manufactured more smg's than every other country combined, has access to NONE!)
What you suggest is taking the total DPS of current PPSh Conscripts (3smg/3rifle) and dividing it among 6 PPSh's. What this gets you is essentially a 6 man Pioneer squad, because the resulting DPS is near identical to the Pioneer's MP 40. Assault Grenadiers would simply wipe the floor with this unit, there would be no contest, this so poor of a unit that I thought even at T1/T2 would be too weak.
Now, 6 Conscript PPSh's with their current stats is only about 8 DPS higher than 5 Assault Grenadier MP 40's, but if you factor in the differences in target sizes, both sides should be theoretically about equal anyway, with a slight edge toward Conscripts in my tests. There is no simply reason to massively nerf the PPSh down to Pioneer MP 40 level
and still have it come as late as it does with the price point it has.
For Conscript Assault Package, I think it needs to be cheaper and I would like if the PPSh dropoff were reduced so it didn't harm your DPS at any ranges. I would like PPSh to be a stock upgrade, but that seems extremely unlikely due to the idea that Conscripts are strictly for support and are not actually line infantry.
Now personally, since everyone in charge is firmly against allowing Conscripts to have PPSh's, I still think a new dedicated Assault unit using either Conscript PPSh or a marginally weaker (but not Pioneer weak) variant would be a welcome addition to the faction. It would also have the benefit of being easier to balance, since anti-tank grenades or merge might be too versatile for a dedicated assaulter. I would give them F1 Grenades, based off weak Panzerfusilier grenade, and maybe the ability to toss 3 RPG-40 anti-tank grenades (Weak no-crit ATnades from Anti-Tank Conscripts).