The answer is "It Depends".
In 1847, when Paul Untiedt Sr's father, Henry Untiedt, was born, Schleswig-Holstein was part of the Prussian Empire.
The following year, 1848, Denmark tried to formally annex the area, which began the First Schleswig War.
In 1858, Henry's father, Hinrich, was serving as a Prussian soldier.
In 1867, Prussia took the territory back as victory for the Second Schleswig War.
Our last "German" Untiedt ancestor, Paul Sr., was then born 3 years later in 1870.
It is no wonder that both Paul & Henry (+ wife Magretha Peterson) left for America in 1882.
But this is why some ancestory tests will say we are "Germanic" while others refer to us as "Danish" or "Scandanavian".
So, why the fight?
They were arguing over whether they should be Danish or German. Back then, the question was whether to be part of the duchies of Holstein or Schleswig, and in many records you will see all of above referenced.