hmm, i just thought of something sickeningly sweet. supposing that the ring does get offered or gifted to ainz from climb or renner, he could then gift it to whoever ainz chooses among his wives for some extra content.
also if bad or neutral endings ever become a thing whomever you give it to could be a contributing factor to breaking out of neutral end into a 'good' slightly more villainous end.
in other words player's choice on the 'empress' or main wife of ainz's empire and harem would matter if the empress is a lvl 100 prior to ring gifting or not. hmm, then again assuming there's the choice for ainz to keep it for himself the benifits would be roughly equal to gifting it to a lvl 100...
anyways, if gifted i could also see how it would set up who would be the recognized heir to nazz and the empire. with bonus content about how they rule after ainz steps down into retirement... assuming he ever does.