Commentary Par III 55-57

The 'lot' of these souls reflects their earthly failings (as will also be true of those we meet in each of the next two heavens), their failure to maintain the strict sense of their vows.  While this is a particularly monastic concern, since vows were a part of the requirements for entrance, as it were, and while the only beings we hear about here were in fact nuns, the failing is probably not meant to be understood as being limited to the clergy.

On yet another occasion, the phrasing at the very least admits the possibility that Piccarda's 'lot' (sorte) is permanently to be present in the Moon.  See discussions indicated in C.Par.III.29-30.