No property tax where I live, which is true for about half of the Swiss Kantons. There used to be a system where they would calculate how much you would be paid if you rented out your property and then charged you tax on that value. So basically a property tax.

But they got rid of that tax while at the same time removing the ability to deduct mortgage interest. So now it makes most sense to pay off your loans.

Mortgages are different here - they are interest-only loans for usually 1 to 5 years. And when the loan expires you have the opportunity to pay off as much as possible and then renew the loan for the remainder.

True it's not a direct property tax, but house value is included in total wealth and is thus taxed through the general wealth tax.