A loan is a covenant between private parties. It's co-ownership in which one party has a lot more power, to be sure. But you have the deed. You have the right to dispose of he property in whichever way you prefer. Keep up your end of the bargain, and no one can take that away from you. It's not similar to renting in any way except that you typically have to meet a monthly obligation.
Sorry I wasn't clear. Say I, for whatever reason have like $100,000, cash. I purchase a piece of land worth $100,000. This property uses no municipal utilities, and all I do is live on it. I still have to pay taxes, just for living on a piece of property, and if I DON'T pay them, I get put in a cage. No matter where you go, you don't actually own your property.
That much is true. However, often what you pay in property taxes will be less than appreciation. Buying property gives you a lot of rights in relation to that property, far more than renting, but in the end, all land is government land. Along that line, more fragile than property rights are your rights to exist unmolested. We would like to think that they are inherent, but in reality, they are granted by a social contract expressed in law and upheld by the judiciary. In many places you can be put in a cage for any number of reasons, with little or no recourse. It's worth considering that the laws, and the governmental structure that gives body to them, subsists on taxes. To some extent, property that is free from taxation, is also free from the social contract that recognizes a form of ownership.