Is the piece of paper a collective of people? Does the piece of paper have agents to enact the decisions of its rulling body? You seem to be forgetting the primary reason why corporations have rights in this perspective.

There's, objectively, an intermingling of rights happening inside an corporation, which derives directly from the "under a normative instrument" part of the definition of a corporation, which creates legal interactions between the rights of the members. That's simply a fact.

And, again, may I remind you, "rights", "laws", "norms", etc. are legal fiction. They don't have an actual corporeal body. Arguably, corporations have more of one given that they have agents, and the actions they do, on behalf of the corporation, is very material.