The major meta-issue at hand here is the problem of thinking that property has a definition in the first place. We intuitively think of property in the sense of personal possessions, which works some of the time, but is quite inaccurate for the majority of properties:

The way in which I own my business is different from the way I own my house, which is different from the way I own my car, which is different from the way I own my dog, which is different from the way I own my computer, which is different from the way I own the information contained on my computer. All of these forms entail restrictions on the rights of others beside me as regards the property, but what these restrictions are vary. Thinking that any of the rights entailed by any of these forms of property necessarily has an analogue in any of the other forms will likely get me into trouble-- save perhaps the fact that any form of property must be able to be transferred to another entity by my sole consent.

Confounding this is the fact that there exists another class of things which are not property nor possessions, but which are nonetheless mine; for example, I neither own nor possess my apartment, but it remains my apartment in a real, legal sense.

So I feel addressing these issues as a question of "is this/should this be property" is putting the cart before the horse. The real, implicit question is, do the rights entailed (or rather restricted) by the relevant statutes pose a benefit, or a harm to our society?

That is the only way to have a productive conversation about intellectual property as adults interested in advancing the arts and sciences rather than as elementary schoolchildren arguing about who "stole" whose idea.