Denmark applies a property tax to foreign properties at ones disposal. If it's rented, it's waived and tax is levied on the rental income. If it's unoccupied, it's considered a luxury available for your use and thus is taxable property, even though it's in a foreign jurisdiction.

But then the almighty homeowners home value might collapse too!

But for real landlords wohld start destroying their own housing stock to take some tax write off or insurance fraud.

Multiple holder companies incoming. Now that will need to be plugged up.

Not saying this is a bad idea. But they will find loopholes.

Every single one of all the government measures I've seen to "help people" in the current "tight housing market" is designed to prop-up housing prices and rents, never ever anything which would lower rents or house prices.

In my country they even given money to renters rather than, say, impose rent controls or start large projects building public housing and do this all the while claiming there's not enough money for things like Education.

From my own experience working in Finance every single government measure I've seen on this since a decade ago sure looks a lot like using the power of the State for manipulating the housing market to push prices up.