@HeavenlyPossum @breadandcircuses @arrrg
I think you're mostly going after good, not natural, as many natural things are bad, as are many good, so I'll answer against that framework.
Rent can exist without private property: property taxes are effectively rent against the land, and they're a reasonable way for someone to stake a claim that they intend to be productive with some property: they expect to exceed the rent with their productivity.
In an entirely classless system, administration is still labor. "Hiring" people to work just means that someone is executing on a plan and needs some people to do so. Financial exchange is a way to do so, but not the only one.
I interview people for management positions in the corporate world, and the third question you ask is very poignant: potential managers who imply strong hierarchy or possession regarding those that report to them get a Do Not Hire from me (and most people I know in that world). Treating employees as unequal is toxic and usually ineffective.
Corporate political lobbying is generally bad. I hope I didn't imply an endorsement.
The narrative that I'm trying to promote above is that the supposed bagel shop can exist, and that it is positive that it does so, regardless of the economic system that underpins the mechanisms of its economic action. We live under capitalism, so the capitalist mechanisms are the most available, but the story is fairly consistent regardless.