It is not the same thing. Property tax can easily be offset by rental income, unless you are staying in it ofcourse. You cannot rent stocks.

> And I don't have the option to sell partial shares of it

Sure. But you can always rent it out and move to a smaller rental. And it is a good thing you cannot sell partial shares of it. You shouldn't. Imagine selling partial shares/stocks every time you have to pay tax on stocks. You will end up with nothing in a few years.