Maybe make all LMG perform Infantry section cover bonus style, if in cover you tear shit up, if moving /a-moving you don't do well at all.
Sov guards and sections would be balanced this way.
There could still be fire and move "mid range" weapons, buff pgrens STG, leave BAR as is, if OKW wants to fire and move they get g43 or STG ober, etc
For Brits to fire on move they need commandos with Bren. Soviets have shocks. So there.
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