As a foreigner, banks would’ve been very reticent about giving him a bank loan, and he would’ve had to down-pay at least 20% of his mortgage.
In other words: I find your friend’s case extremely unlikely and probably made up.
FYI: most people’s expenses go _down_ by buying in Denmark. The interest rates are stupidly low, in some cases even negative, you can pause principal reimbursement for 10 years, and your tax rate goes down.