I was going to argue that the fans push this narrative as much as anymore, then I thought for a moment and I decided it really isn't. Most of the time its the analyst's that push this, and I think its not so much that they value rarity but the fact that a lot of them are just idiots, and using rings is the quickest/laziest way to form an argument. It really has become almost a another Godwin's Law to me.
I know its a bit of a strawman but if I take that argument to its logical conclusion I could argue that Terry Bradshaw is better than Peyton Manning, afterall 4 is a lot more than 1.