I think a lot of people underestimate how much farm work and actual hard labour is required to maintain a commune.
I also question if someone is actually left-wing, if they think they're somehow above physical labour, or implicitly believe they're too good to be doing it.
Really small communes can handle things between each other more easily and everyone is invested. If you get larger though you’ll get freeloaders that drag everyone else down and you’ll have to have some sort of enforcement.
And looking back at history, that’s typically been “guy that beats people up”.