Can confirm EIMs get casket drops, as well as ensouled heads. From my experience, I've only gotten easy caskets on my EIM account, so I'd assume they get a money reduction from caskets. However, EIMs can still alch items for money, which is nice.
With that said, I can support OP's suggestion.
I believe easy caskets actually give more money than hard ones. At least they do in my experience, usually easy caskets are around 250k and hards are around 200k. With 50k lower being the lowest I tend to see on both. So 200-250 easy and 150-200 hards.