Gotha rates them as H3, so she is NOT equal.
Institut Deutsche Adelsforschung, Register des Gotha, Buchstaben A-B
What means H3? H stands for Hochadelige Häuser ( royal, princely or mediatized noble houses), 1 - 3 is the rank inbetween the group. 1 is the cream of the crop, 3 the lower part.
H1 means nowadays or former sovereigns (
Première Partie – Généalogie des Maisons Souveraines)
H2 are mediatized houses: means former noble reigning houses, which rights were abridged by Napoleon ( this is a very short explanation)(
Deuxième Partie – Généalogie des Maisons seigneuriales médiatisées en Allemagne qui ont les droits d'égalité de naissance avec les maisons souveraines)
H3 are most of all princely houses, that never been sovereigns or became a meditized house (
Troisième Partie) - like Bismarck, Galitzine or Pückler.
Equal according to the prussian house law are only H1 (themselves) and H2 ( like Castell Rüdenhausen or Isenburg)
.
So there was no chance for a marriage. But imo they didn't fit together very well and she is too young for him. She is more a representative of that south european catholic old noble or old rich families crowd - high fashion, party ....a very special scene to which the T'n'T's or the Casiraghis belong ( or very new: the Hanoveranians boys
) Sophie is just what Georg needs. And she speaks german and knows the particular german noble rules etc.