I also think it's a bit hard to say that he is "cursed" with his original nationality or "marked" for life. I don't know him but from his own page on the Niels Bohr Institute, he sure doesn't seem embarrassed or sad with his American background: http://nbia.nbi.ku.dk/members/jackson/ And why should he be.
I was simply asking why they call it the "Danish" 5 times in the article. I believe the answer is that they really want to stir up the idea of another Danish/Copenhagen school as opposed to the mainstream views in physics. That's it. And I doubt this little debacle will ever evolve into anything as important as the original Copenhagen school.
Now, I don't think it necessarily matters what nationality we identify with. To many people, nationality is a legal concept, not a matter of feelings. That view on nationality has the advantage of being clear. It's hard to know what people identify with. I am not even sure what I identify with anymore. A bit of different countries, I guess. Maybe none. As a legal concept, however, nationality becomes something that is objectively right or wrong.
As to who deserves the credit or blame (Denmark or the US), I have no idea. A huge part of what makes a great scientist is his upbringing, primary and secondary education. In this case, they guy got his entire formal education in the US, and spent several decades there before going to Denmark. Maybe it's not nation states that deserve credit. Did Argentina make Messi or did Spain? Or was is just genes and the fact that his family of football players? I don't know...