The hidden story behind it seems to be a wish to "re-monarchize". Since the arch-stupid action of the Grand-Duke to refuse his assent to a democratically approved Bill (in 2008), he has been sidelined in the machinery of State.
There is a wish to bring the monarchy a bit back more in the picture, for an example with an annual Address from the Throne, like in the Netherlands. (Neighbouring Belgium does not have an annual Address from the Throne either, but there the King still is in the political framework).
This attempt to "re-monarchize" seems to have people who are pro and against it and needs careful manoeuvring of the Grand-Ducal Court. There is opposition from the Prime Minister and that is not to the liking of the Grand-Duke (and therefore also not to the liking of his spouse). That seems to be the hidden motivation behind the pro-active movements at the Court.
It seems there was a fall-out after the Grand-Duke lost his constitutional right to sanction decrees. bills and treaties (by unanimous vote!). The Court seemed genuinely shocked that Government and Parliament did act so rigidly and was calculating on a sort of "Baudouin scenario" (the Government sanctioning the Bill for the "incapacitated" Grand-Duke) and certainly not on such a ruthless removal of the Grand-Duke in the legislative process.
The Grand-Duke (and the Grand-Duchess) then though his advisers should have warned him more, should have massaged the Government (then Prime-Minister Jean Claude Juncker) more, should have lobbied Parliament more, etc. Since then the so calm Luxembourgian Court became filled with mistrust and intrigues.
That seems to be the hidden story behind the problems at the Court. Not so much the demanding Grand-Duchess, but the wish to "re-monarchize".