Don't worry about it, the Danish government has promised not to increase the tax rates (in fact it was one of the cornerstones of their campaign so they couldn't abandon it) since then they have looked in all sorts of places and for all sorts of excuses for how to increase revenue without actually raising taxes.
In other words this is just an excuse for more revenue, nobody (not even the government) expect this to actually improve the health of the average dane (which is about as bad as the health of the average American twenty years ago). Add to it that we have single payer public health care here and it should make it clear why they try to get away with this stupidity.
The entire thing is even more stupid because the government who created this tax lost the recent election but the parties who won haven't cancelled the law (despite the fact that they could increase the tax rates without breaking any of the promises they made during the election).