I don't think either get bonuses against each other elementally but I could be wrong. I'd say that realistically Quezacotl would win due to lightning surely being able to melt ice.
Fire would melt ice. Lightning can crack ice.
I think Quazy is stronger, cooler, has a cooler attack and summon appearance.
No time for "Dilly-Dallying" or "Shilly-Shallying."
Props go to the one and only, Proxy, for the signature.