Property taxes are use taxes. You're paying for the right to occupy an inherently limited resource, and for necessary services and infrastructure. It's not a wealth tax because it doesn't matter how much equity you have; it's the same whether you fully paid in cash or have an interest-only mortgage. It's also not a capital gains tax because the purchase price doesn't matter.
The total ownership of all public companies is also a limited resource.
Whether I have 0% equity or 100% equity in my home I still own it. The only question is how much I owe to the bank. "Oh I bought that with leverage" shouldn't change things for home ownership and it should change things for a wealth tax on stock ownership.
Then it’s an asset/property tax, not a wealth tax, because debt doesn't change the asset (even if it is secured by the asset), but it does change wealth.
