There are many forms of occupancy and enterprise that don’t require ownership systems.
The Picards may live under a kind of willful covenant in exchange for the privilege of continuing association with ancestral holdings, for example. They may be obligated to work harder, or give up other privileges. Stewardship, with privileged access, but at real (noncapital) costs. Speculatively. I have no idea what is canon about the remnants of private property on Federation Earth.
Likewise a restaurant is typically leasing a location even now. If someone is running a restaurant that doesn’t run on money, what kind of equity is there? Nothing personal other than responsibility for equipment you have a right to use as long as the establishment is running, free labour associations where you have little power over staff, occupancy based on reliable regulation.
You don’t sell a restaurant or historic vineyard in gay luxury space communism times, you shut it down or find someone else to run it.