Nah, doomed is more for pics which show a situation where they're going to die (probably horribly) and there's pretty much nothing that they can do about it.
This is hardly doomed, I mean, danger is definitely present but they could easily wake up before the car is turned on, or an anon could see them before they do get hurt and deal with it accordingly.
Doomed is for when they're stuck on an island with no food or shit like that, where barring divine intervention they're going to die.