All the other children can be found in normal Swedish sources, SBL, Elgenstierna etc.
Nicolaus is speculative. Nicolaus has a profile here: https://www.wikitree.com/wiki/Ordener-22
"This ancestor would have been, according to some, an illegitimate son of Gustav II Adolf Vasa (1594-1632), King of Sweden, and an Austrian countess. [2]"
Henrion, Lucien. Le Général Michel Ordener, Comte de l'Empire, Sénateur. p58. In Mémoires de l'Académie Nationale de Metz, ANM, 1986.
So, the question remains: Why is he linked as a child instead of just his name mentioned as a link in the bio as we see on many other speculative connections on geni? I find it slightly annoying that there appears to be several different policies in place for same sort of situations. I am sure if he was even a realistically speculated a child of Gustaf Adolf, there would be a couple or even one mention of him in the swedish records. Personally I feel it's dodgy to say the least. We have pretty reasonable records from this time in Sweden and even very detailed descriptions about many personal details have survived.
I agree this should be detached unless we can find a primary source which firmly supports the relationship.
See also the profiles for Michel Ordener:
https://www.wikitree.com/wiki/Ordener-85
Michel Ordener
His ancestor was Swedish, of formerly illustrious origin (as Théophile-Malo de La Tour d'Auvergne-Corret said, without directly naming him, and of which George Sand wrote in her book "Histoire de ma Vie" Volume 2 Chapter 7 p23), and whose civil discords took him away from his native land. A refugee in Hungary, then in Germany, he had finally found rest under the government of the King of Poland. He then was looking for to found an industrial establishment with modest but serious resources offered by the region of Saint-Avold (Duchy of Lorraine). He did not succeed and died. [2] This ancestor would have been, according to some, an illegitimate son of Gustav II Adolf Vasa (1594-1632), King of Sweden, and an Austrian countess. [3]
"according to some" is speculative, and not grounds for connecting to a notable profile such as a King.
The journal mentioned in WikiTree and by D Bruno above can be found here for 1986. They do not specify which month, only page 58. And again, this is still speculation being written about, not birth records or anything which qualifies as a primary source which would establish a relationship.
https://gallica.bnf.fr/ark:/12148/bpt6k12937919