Yeah, and in practice it actually ends up being worse. You also say that like I think "private" is bad. I don't.
I do believe I have the rights to the means of production if I develop that means, devise it, and put my own time in. I can then ask people if they are willing to contract to operate part of that for me. We can negotiate that contract. Yet I cannot force them to take it. If they think it is their only choice then they likely are looking at life in a very limited perspective. It's not like I have them in a cage which the only way out of the cage is to work for me.
There is an entity that does that. Yet it is not private. ;)
RE: My new thought on something to say to pro-communist people...