From an applications point of view:
They want web apps only running in whatng cartel web engines?
libreoffice? A massive piece of software you can build only with US c++ compilers (MIT and mostly apple)? (the mistake was to use c++ in the first place, well computer languages on an insane level of complexity).
To put it together: it won't be perfect, lines for compromises will have to be drawn, and it will feel like getting out of 'the matrix' for the time (normal "users" won't understand), if you see where I am going. Digital freedom has a "price", efty "price" in a digital world dominated by Big Tech.
Going for a strong independence will have to hurt, or it will be slatted as "posture" more than a real long term/strategic will.
It is not "against" the US, but "in the interest" of the danish people (well, should be EU though...)
Who cares if a piece of open source has American maintainers? The point is not to avoid touching anything American. It is control and sovereignty.