I could not see what you were referring to -- after I die, there are no more instructions.

You have Can't use an undefined value as a symbol reference at /u1/stat/global/bin/perllib/master_log.pm line 480. after Died at /u1/stat/global/bin/perllib/master_log.pm line 494.

I'm not clear as to how after dying I could possibly try to execute that block of code an additional time.

Neither are we, since you didn't show us. Maybe you catch the exception? Maybe you call it from a destructor or END block?