You pay property taxes or you lose your home. You also need to build your house to an exact specification that your local government came up with, of which you have no control over.
In other contexts this isn't classified as ownership. Ownership to me is if I spend $300 on a lawn mower, it's mine forever with no future costs associated to it beyond repairs. I can do whatever I want with it, including modifying how it works or smashing it into a thousand pieces. Both of which are true if you buy a lawn mower today.
With the house scenario there's also tons of things out of your control that could be classified as "well, you own your house but things are about to get drastically different for you". For example what happens if you build a house in a nice empty area of land but you don't own all of the land surrounding your property. Over the years a couple of new houses are built around you and things are fine. But then 5 years later the town decides to build a fire station across the street from your house. Your living conditions are now ruined. A deafening siren may go off at any hour of the day or night and there's going to be extremely loud fire trucks and sirens all around you.
I don't know what would happen in this scenario but something tells me it doesn't end well for you as the home owner? Something tells me the town isn't going to offer to buy every house near the fire station over the market's value then pay to re-locate you to a different part of town (because you don't want to leave a specific school district or move to a different town / state). It also kills the market value of your house for future sales. Maybe at best they'd offer you a relatively small lump sum of money which is no where near worth the noise pollution and future loss of value on the house.
Things are much less dire than this. My city’s zoning doesn’t come anywhere near an exact specification for buildings. It sets certain minima and maxima, but to call those an “exact specification” is a gross exaggeration.
Further, even if you need a variance from elements of the zoning, those are generally easy to get if there’s good cause (or in practice in our city, merely a not entirely unreasonable reason).
This in old, tired theoretical argument. Your lawnmower won't have much impact on your neighbor, but there are things you can't do with it: (e.g., modify it to emit poisonous gas, make painfully loud noises, or fling objects at high speed through your neighbor's window).
The answer is simply, you are subject to the law. If that makes you not free and oppressed, then you are not free and oppressed.
Rights: If you do not pay your property taxes, you will probably have 6 months to several years before your home is taken. If you do not pay your rent, the eviction process will likely start immediately and the landlord will probably make your life more difficult until you leave, even if you live in a state with stronger tenant rights.
Costs: Taxes are somewhere between $500-$5000 per year for an average home, while rent is more like $500-$5000 per month. Rent is on par or greater than the mortgage cost for an equivalent space, I have only seen lower rents when the home was not still mortgaged.
So while owning and renting may both theoretically be a subscription or a service with regular costs, the costs and benefits are not the same.