There are some missions which triggers the patient to show up AFTER the mission is cleared.
That could be an option.
Yeah, that's what I'm going for. I don't know why it wasn't implemented for this mission and others like it where there's no way known the ambulance crew could treat them before the end of the mission. Car crashes etc, I can understand patients being treated during the main part of the mission, as when I've been to MVAs, fire has always been last to leave since we're cleaning up