This idea of owning has been bugging me for a while, and I'm coming to the conclusion that it does't matter: i.e. 'own' vs 'rent'. The difference is rather semantic and maybe the problem down to the core. I'm stepping rather out of scope here, but it is similar to the idea of discovering vs inventing. Perhaps a little humility is in dire need. This blade cuts both ways. If all things are 'rented' then we can say that corporations, governments, or individuals have no rights to anything. Perhaps our laws should reflect that idea more.
It is a nice thought that I 'own' something - anything even - but really, I'm even renting this body for a few decades or whatever. Soon enough, it will belong to no one. Owning software is more fleeting, and in many cases, it is a use once, and discard. Most games, movies and TV shows are obviously like that. The fact that we could buy some media on a CD, DVD, or a book, for example, is really about a convenient way to access the content therein, but we never 'own' the content, at least I don't claim 'that song is mine' or 'that story is mine'. We barely own the media since it is slowly degraded over time to uselessness.
Even when I buy a house, and then later sell it, it is pretty equivalent to renting it too. I think it is especially easy to see the similariities if I've a mortgage on it. i.e. the 'bank' owns it and I'm paying them to stay there. I may make a few dollars back on my sale... maybe. But usually, I'm just in a different house with another mortgage. i.e. rent.
When I die... I personally lose it all. gone.
I think you hit the issue with the restrictive terms. This is a problem that is not easy to overcome. Owning is not really the important thing, and it might actually be more important to consider it always a rental. But not having access due to some restrictive terms, like you live in Mexico, or Canada, so no access to your software, would the serious detrimental problem. That's when you want to have software installed vs streamed -- and not DRM locked so when you cross a border (virtual or not) you lose access to stuff you normally have access to use.