Yea...you either
LWBS - left without being seen - you are registered but not seen by a provider. Like you register your name and your chief complaint, told to sit in the waiting room, get tired of waiting and just leave.
Eloped - you are seen by a provider and are in the middle of a workup. Then you leave
I do understand there might be some confusion if you as a pt go through PIT. I guess technically if you are PITted, then leave, it's probably elopement even though you were seen for 30 seconds.
The intended difference between LWBS and Eloped, at least theoretically, is that one designates usage of ER resources (nurses, doctors, lab techs, and other services) that should be billed for, and the other does not.
All the more reason why we really just need to charge people to use the ER. No matter what their complaint is. You register your name and pay $50 bucks. If you are LWBS, you can get your money back. If you elope at any time during the process, you forfeit your $50. Hospitals need to grow some PR balls and charge people for using the hospital. And doctors need to say "ADIOS" if you can't pay and don't have an emergency. Everyone is so scared of the PR ramifications and social media.