Not an EMERGENCY LANDING. It was a normal approach and landing following an in flight emergency.
Which checklist was used for the landing? OEI? Nil hydraulics? One gen U/S? Oh, you mean the NORMAL landing checklist. Well how about that?
Well maybe there wasn't a "THE PLANE HAS GONE CRAZY APE BONKERS" non-normal checklist, but I'd call it an emergency landing.
Uncommanded rapid pitch changes - tick
severe injuries - tick
mayday call - tick
diversion to nearest airport - tick
Or maybe they just did a "NORMAL" landing, wrote "NIL" in the tech log and went off to the pub for a few beers and a laugh!