I would think it should be coded to check what ilvl your ring is so when you swap to the other ring it keeps the ilvl the same. Something as basic and clunky as checking how many times your character has looted crystalized fel, and automatically applying it to the other ring.
MY X/Y POKEMON FRIEND CODE: 1418-7279-9541 In Game Name: Michael__
But why would you skip all the fun of 60 resets with hybrid?