Nassim Taleb wrote a whole book (Skin in the Game) under a similar premise: “Never trust anyone who doesn’t have skin in the game. Without it, fools and crooks will benefit, and their mistakes will never come back to haunt them.”
People may have differing levels of skin in the game, but it's no more sensible to say that property tax should only be spent on things property owners want than it is to say that property tax paid by people named Dave should only be spent on things that The Council of The Daves want it to be spent on.
https://courses.lumenlearning.com/wmopen-microeconomics/chap...
Skin in the game means a risk of losing some investment you brought to the table, not just losing the ongoing benefits and downsides the game itself provides.