Lithium-Ion is not a specific cell chemistry, but rather, encapsulates a broad range of chemistry options. IMR IS li-ion. (Ion Manganese Rechargeable).
The more common cells you see, often sold with protection circuit, are lithium cobalt chemistry, or ICR cells. This cell type is usually the type to be called "li-ion" with no other specific designation.
IMO, for anything smaller than a 17500 size cell, ecig users should be using IMR chemistry cells. They are apt to provide a safer, more reliable vaping experience.