They are saying that ""Under the ever-vigilant eye of Selene" sounds better, and that "Under the ever-vigilant eye of Simonetta" does not sound as good.
Let's look at another context. Imagine a group of people are discussing the name of a new model of car they are about to build. One might say, "I suggest we call it the Ford Fiesta". Another might say, "how about we call it the Ford Focus?". A third person might say, "I prefer the Ford Focus, the other doesn't have the same ring to it". Having a "ring to it" suggests that something sounds natural and pleasing.
We would always use "to it" rather than "as it".