That makes sense, the venue would have an outsized cost greater than the individual who owns it, that cost will be supplied by the greater society. They all pay for it, but one person controls it.

However, doesn’t this break down if the community democratically decides to give the individual the property to maintain, assuming the community can always vote to reclaim the property, it doesn’t seem as if this would be private property at this point. I could realistically imagine this scenario in a very small community.