I've only found the 3 completely new tracks, so I'm also wondering if EIE is different at all.
BTW, I'm On Top sounds exactly like you'd expect a Jon Brion/Shirley Manson assisted track to. I like it, but it is definitely different than the final NTMT vibe. I Can't Say No To Myself is the only one that I think would really fit on NTMT still. Werewolf sounds very Ghost EP to me.
I'm surprised my most anticipated was I'm On Top as I love the live version and didn't really like ICSNTM, but now hearing the studio versions I prefer ICSNTM. I'm On Top is lacking oomph in the chorus imo.