Yeah, that’s exactly how the fact checkers act, just because a headline doesn’t cover all the nuance in the article it is false.
There is a blanket ban for people under 18, except in extreme circumstances (as all laws are void in extreme circumstances). For people under 50, it is effectively banned because there will be no doctor in Denmark that provides it. So you can go out of your way and find a way to do it, but it is likely the health institutions won’t cover it, if you end up being a burden to the public health systems, the government will recover those costs from you.
This is basically the same as saying there is no ban against building a shoddy house, because you can find some private space and find some contractor to build the house. But that doesn’t mean when the government or insurance finds out they won’t ask for back taxes, pay out any damages or personal injury and condemn the building.