May PAN PAN might be more appropriate. I believe MAYDAY is supposed to
be used when loss of property or life is imminent. Pan Pan is for
"urgent" situations. I realize it's a judgement call, but I'd use PAN
PAN if I was lost or something, and MAYDAY when a wing or tail feathers
departed the plane.

This is slightly OT, but... suppose that you are flying in a remote
area and see an accident, or what looks like a recent accident.
Landing is impossible or difficult. What radio call would you make?

Bartek