[sudosysgen]

I agree, we do need a very specific and structured definition of capitalism which analyzes it as a social and political system. Which has been done and achieved consensus almost two hundred years ago, but now it's become almost taboo to mention :)

But yes, confusion about these definitions is due to the fact that we haven't had a serious remise en question of the social order in the anglophone world since the end of WW2.

As for my definition of private control of the means of production, I think it's fairly uncontroversial to say that if someone may not decide how to use something then they are not owners of such a thing, but merely hold a license to it. It's the same argument for why you can never own a copy of proprietary software, only own a license to it :)