I had no idea there was a brand called "Dansk", needless to say, it's entirely unknown in Denmark :)
(I'm Swedish, if that helps the explanation)
Also Dansk Folkeferie, Dansk Kabel TV, Dansk Retursystem, and Dansk Erhverv just from the top of my mind.
As I said in my original post, and the clarification, I've never encountered a brand that is named Dansk before this article about a brand called Dansk, which is an american brand making houseware.
https://www.dr.dk/nyheder/kultur/hvorfor-hedder-det-danskvan...
It means Jutlandic (jütisch).
[1]: https://danishendurance.com/pages/danish-endurance-our-brand