Christian Theodor was born in 1750. His mother was soon widowed and then married Georges-Henri de Pincier.
The article in Wikipedia states that Georges-Henri de Pincier was a descendant of Baron Pincier, whose family had received their patent of nobility in Stockholm from Charles XII of Sweden in 1698.
There was indeed a Pincier ennobled in Sweden in 1698 baron Johan Ludvig Pincier (1660-1730) - full name and titles Johan Ludvig Pincier, friherre Pincier, friherre till Königstein, arvherre till Öhe och Dallroth
According to Gustaf Elgenstierna (1925-36), Den introducerade svenska adelns ättartavlor (republished at https://www.adelsvapen.com/genealogi/Pincier_nr_109) Johan Ludvig Pincier had roots in a noble family in Thüringen, later in Hessen and lastly in Lübeck (uncertain if they still had a noble title by then).
Johan Ludvig Pincier was born in Lübeck 1660. He eventually became a tutor to Frederick IV, Duke of Holstein-Gottorp, whom he followed everywhere on his journeys, also in Sweden. Frederick of Holstein Gottorp married Princess Hedwig Sophia of Sweden in 1698, which was also the year that Johan Ludvig Pincier was appointed a baron by Charles XII of Sweden.
However, Johan Ludvig Pincier was the last of his male line. He had three daughters and two sons, who both died in Lübeck, before their father.
So Georges-Henri de Pincier was not a descendant in the male line of a Pincier ennobled in Sweden.