The results do not seem equal if you take account for the actual costs and privileges. Owning property has more rights and renting has more costs.

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.