No, you don't get to live in "your" house rent free. About 3% of the house value per year goes to property taxes, repairs, utility bills, grass lawn maintenance, hoa dues, insurance and so on. A paid off house is like a brokerage account with insane fees and liability.

The cost of owning a house needs to always be compared to the alternative. By owning, the principal+interest payment disappears when it is paid off. Sure you continue paying other expenses. If you rent, you pay the full and increasing market rate, forever.