I'm quite interested to see your reasoning behind that statement. Don't people still want their property values to go up even with property taxes? Except in a no property tax scenario, people who own their homes outright would still be able to stay if they wanted to. Perhaps no property taxes would more highly encourage local owners to restrict newcomers. Isn't the government also interested in increasing property values so they can receive more revenue? In that case I suppose they would in a sense be "earning" the taxes they levy.
- Edited for clarity