It's gonna be a long answer, so kindly read fully to the end.
So, let's begin with Your questions.:
Is there a Logic to these comparison.???
Yes, it's totally logical and authentic.
According to Vedas and Upanishads.:
"umaa sha~Nkarayogo yaH sa yogo vishhNuruchyate |" (Rudra Hridayopanishad 11)
"The combination of Uma and Sankara is Vishnu&...