I wonder if the family discord is why the announcement expressly stated
"The Queen’s decision is in line with similar adjustments that other royal houses have made in various ways in recent years."
I don't think this is a good decision in the long term. IMHO the government of a country tends to want what was has been the king's privilege in the on-going move of the political power from the souvereign to the people the country's citizens have voted in.
Stripping titles off Royal offspring and allowing them to lead "normal careers" sounds good as an idea. But when the monarch does that to certain members of the family, who's to say that it should be stopped there? Why only Joachim's children? Because they are "just" the children of the "spare"? Then why keep the titles for the CP's children? These three yonger children will end up "unneeded" as well. Do they have to look forward to loose their titles (and thus part of the identity they grew up with) as well? And why not take the firstborn child of a direct-line heir out of the (now considered throughly unroyal) family and let the (untitled) wife of a direct heir raise the other kids while the heir's heir's heir is raised apart as a future monarch? There is only a tiny step from there to abolish the monarchy because who needs Royals that can be stripped off their tiltes at the monarch's whim in a political system that's based on the people's basic rights and laws protecting that?
I'm not even sure the queen can do so under European law....
If I was Joachim or one of his wifes, I would be fuming having an aunt like Benedikte, still running around as a princess of Denmark doing some public duties even though she is "only" a widowed German "princess" (name, not title) after all or another aunt who is treated as Her Majesty though she lived in exile for decades now while my children, a queen's grandchildren, were stripped of their titles being teenagers or young adults only and used to be who they are, since birth. I already can imagine what this will mean for the former princess-daughter of Joachim in her (probably posh) school in Paris! Poor girl. As she is not even a grevine in her own right but then just a Komtesse...
And the next step will be that the government decides on who's important in the family and who is not. And then... why is the monarch important?
That, IMHO is the fastest way to a democracy with no king or queen, but a voted in president (m/f). When even a monarch has no more respect for the Blood Royal of their family, who should have it? Why bow, courtsey or just show any form of reference to the head of a family that is not considerd "worthy" of the titles they were born with anymore? Even though they've done nothing? Where will end where this has been started? It's very good that there has never been a a need for gender discussions in Denmark after Margrethe's ascent to the throne and there wasn't any reason to talk race about the first sons of Prince Joachim yet. But when these things happen IMHO it's the first step towards abolishing the monarchy. Or the second step if you think about the Counts of Rosenberg and their father, the Arveprince.
It was okay with the Norwegian Royals, seeing as there was Marius already as a not-Royal family member before a Royal child was born, the the heir, Ingrid Alexandra and then Sverre, the spare. Who is a HH Prince of Norway still, isn't he, though he is only the grandson of the king?
And I can understand the wish of minor Royals not to be known as a part of the Royal House when they try to lead normal lifes (as if "normal lifes" are something you have to have when you were born into the upper echelons of society - it's more about what you can do in your life without the media coming after you...). But such a young girl and young boy as Joachim's younger children? Living in Paris, the capital of humility? The place where poor and rich are equal??? LOL! I bet when the former princess is having her first boyfriend this is exactly how she is presented in Ekstra or Billed Bladet: as "former princess of Denmark, now Komtesse...).
(And, coming back to the original topic: why are these kids of Joachim anything but normal Danish citizens? Why be a "Count" if a normal life is envisioned for them? Shouldn't they be just really normal citizens, maybe taking on normal names like Nicolai Joachimsson? Athena Mariedottir or even Cavallier?
If the family members of the monarch are citizens like you and me, that's fine. But why have a monarch after all? What makes this person so "good" that we accept them as heirs and later as the chef when they have only what they deny their family - the Blood Royal??