If the taxes are not the obvious hyperbole of 1M/day, there are equilibrium options which result in the scenarios I laid out - and even accepting that ridiculous premise, there is the escape hatch for giving it the federal government the day-of, who obviously don't care about paying taxes to themselves.
The point is that there are logical paths where even punitive (or intentionally ridiculous) levels of vacancy taxes result in a decrease in real prices.
>there are equilibrium options which result in the scenarios I laid out
Yes, but they are that the tenants pay the taxes. Capitalists are free to move their money anywhere they want to keep the return on investment up, but people must live somewhere.
An owner-occupier would naturally not have to worry about vacancy taxes. If you are a landlord, can't afford the vacancy tax, and would lose money on tenancy, eventually your most efficient option is to simply give away the home to someone who will happily take it.
The point is that there are logical paths where even punitive (or intentionally ridiculous) levels of vacancy taxes result in a decrease in real prices.