With respect, this is nonsensical. This A or B abstraction is pretty useless when something can be both A and B. An obvious example is the corporation: this is (according to the current SCOTUS) a person with most of the rights of natural persons yet can and indeed, must be owned.

I would guess that the issue here is some mix of your not understanding the legal nuance here (as you allude to) and the law around it itself being incoherent. I don't claim to understand the laws here myself, but then the legal concept of a person is very tortured anyway.