User blog comment:EmpyreanSmoke/Supernatural Q&A/@comment-27457157-20150823020141/@comment-24834479-20150825002338

It was never really given a lot of though, wanted to be left a mystery, like the horsemen himself.

So far as we have written it, it doesn't control the horsemen, but it would probably be able to.

We might dwell into this later.

Not currently.

No, the horsemen don't have counterparts.