It's easy to imagine countless non-transferable or otherwise limited forms of property, and our societies have always had them, for entirely understandable social reasons (e.g. primogeniture, instituted for social stability reasons). Property rights don't have to be unconditional in my dictionary.

But let's use your dictionary where property rights are always unconditional. In that case, we have never had property rights and it doesn't seem like a good idea to get them!