I seem to be in a minority because I have lots of Making Memories snaps, and have no trouble whatsoever in setting them with the Crop-a-Dile. I don't have as many of their eyelets, but don't remember experiencing any issues with them either.
For the OP, there are two things that can be referred to as snaps.
There are the ones that are like eyelets only without a hold in the centre, so they look a bit like brads.
And recently I've been seeing the sort used in sewing on some cards - I think Tim Holtz
Forums at Splitcoaststampers them. I guess you would attach them with some sort of glue, but the sort I think you are referring to need a setting tool the same as eyelets.
There are Making Memories snaps on this card:
SC254 Cosmo Cat by Cook22 at Splitcoaststampers
I think eyelets are great on tags, and on some of the Spellbinders tags
For lots of inspiration, check out the gallery from when using eyelets was a Ways to Use it challenge -
Gallery at Splitcoaststampers