I think at least in TOS (where red shirts originated, perhaps statistically unfairly) all of the red shirts would get a name tagged to them before things went wrong. That seemed to be more of a "red" flag to me, get the regulars in a landing party, oh, and Mr. Johnson too. Yeah, he's toast.
Certainly by now someone has done a breakdown comparison of the many series - which series was more deadly to the "new" guy in the group? I don't think TOS was the worst, and no, whole ships don't count like Wolf 359.