No, as a property owner who doesn't plan to sell in the near future I want my properties values low: I pay taxes on the value of the land, so the lower that value the lower my costs. When I decide to sell I want low property taxes because I know the future buyers of my land will consider property taxes, I just want high property values.
Sure, that's the ideal situation. Paying no tax and having high property values. Ultimately I'd assume you still want the property to be worth more than what you paid for it. You and the government's incentives are aligned in that sense. Of course you still are moderately adversarial since they are taxing you.
I was just trying to point at that local governments are also encouraged to have high property values for tax revenue. They also tend to have a bit more power to be able to affect large areas property values by force. If people cannot/don't utilize the government to enact policies to force people out, it seems to me that it would be pretty difficult for people to enact those policies without governmental power.
What we see in places like San Francisco are property owners and governments teaming up to drive property values up in a mutually beneficial relationship.
Edit - It could be said that the government itself is rent-seeking in such an arrangement.