Can't it be both? Since all of the planets (except Earth) are named after Greek or Roman gods, Luna being the moon goddess and being the name for the moon is logical.
What difference does it make that it means moon in other languages? It isn't about what I want to name the moon. It has a name, which happens to mean moon in Latin because it was named after the moon goddess. I don't see how it is hard to follow. Jupiter was named after the king of the gods, and all of the other planets (again, not Earth) and many galaxies are named after gods.
Our moon bares resemblance to the moon fenrir, which is named after the son of Loki. Fenrir is smaller, how bout we call it Loki. I've wanted awareness for this for a while, btw. Thanks.
http://en.wikipedia.org/wiki/Luna