As an attorney who specialized in IP practice in law school, I can tell you that your understanding of what a property right is is absolutely wrong. If you told a judge that copyright is not a property right, they’d stifle a laugh and advise you to come back with a lawyer, and your lawyer would, in turn, advise you to keep your legal opinions to yourself.

Both are rights to exclude enforced in law, which is the essence of what property law is. As the owner of physical property, you can exclude others from occupying or using it (with the violation being trespass). As the owner of intellectual property, you can exclude others from copying it, making derivative works, etc (with violations also enforceable in law).

Yes, both types of property rights are subject to limitations, either by law or by contract (as in the easement and mineral rights examples you gave). But that doesn't change the essence of what they are.