Will my student’s idea of taking extraterrestrials in numbered sequence, starting with oldest first by date of birth, a clever way to do manageable sized groups, but not miss any for requesting healing?

A mitigating factor here is that there are not so many extraterrestrials that a systematically implemented project is quite doable. There are ways to speed things up working with colleagues in tandem, one starting from oldest to youngest, another working from youngest to oldest, another working from the median age towards the oldest and yet another from the median towards the youngest.