Again your viewing capitalism as yes or no, I am viewing the nuance.
Its all capitalism just in different ways and to varying degrees, thats the point, there is no "this is capitalism and this isnt" Everything is a mix of ideologies applied in many different ways.
I would say that what you describe "is mostly capitalism", it has aspects to it that are strongly capitalist (the private person gets a significant portion of ownership rights) and has anti-capatilist components such as lacking certain ownership rights in dealing with how I wish to use my property (in this case to sell it).