Of course, no one can predict how one or another will act in a desperate, life-threatening situation.
All we can do is speculate around what seems, given the evidence and facts, reasonable.
Fred was, by far, the most experienced professional of the two. He was older. He was male (therefore inculcated with male expectations) and his job was to KNOW WHERE THEY ARE.
Amelia was not accomplished, nor apparently comfortable with radio communications.
There is NO QUESTION, their best hope for survival was communication with rescuers.
It seems unlikely to me, that Fred would be the one hysterically advocating for egress of the Electra, while Amelia was calmly trying to communicate via radio.