"...completely negates the beauty of
Sophronia by connecting it to
Sophia, which most people already have an association or opinion on."
Thank you - I catch your drift on that -
Sophronia does have its own distinctive beauty. Perhaps the child in me enjoys "sticking it to the established conventions" with utilizing Soph,
Sophie, or
Sophia as a pet for a name less known yet might (arguably) claim an enhanced formality due to novelty.