Means of production is not the same as the shoes on your feet. It's just unfortunately confusing terminology that leads to twisted argumentation.
Btw, the alternative to capitalist liberal states is not exclusively authoritarian marxist-leninist communism. Not all anti-capitalists are pining for another different boot to lick.
Even today factories aren’t the means of production, they don’t make houses that’s mostly people with hand tools. Nor do they make food or mine resources etc.
The context for his writing wasn’t simply factory conditions being so so bad he created an ideology from whole cloth.
Your kid may also be messy, but the two messes have nothing to do with each other, bringing your kid in to it serves no useful purpose, and people may reasonably wonder why you're focusing on your kid's messiness in unrelated contexts.