There is no difference, it is just playing semantic games.
Spirituality always connotes mysticism or a supernatural element, and therefore alls in to exactly the same category of superstition as does religion.

It perhaps depends on how you define the word spirituality. Spirituality is an almost meaningless word with no clear definition, therefore people are able to use it to mean almost anything they want, ( Like, 'thingy'. )

Which means it is used for everything from. "I can talk to dead people." to. " I sometimes have emotions which do not fit with any of the words usually used to describe emotions." And many other things between and around those. For myself I find it hard to think there is any truth in the first, but I think it is quite likely that the range of words we usually use for emotions has large gaps in it, through which some emotions fall.