So tell me, if you were with a group of say 100 people in a large room with a door on each side, and a tiger entered to room through one of those doors.
a) You are going to fear for you life and panic for the opposite door like the other 99 people in the room.
or
b) Because you don't fear death you will let the other 99 people panic for the door while you remain unconcerned about the tiger heading your way.
When the threat of death gets close, fear is not a choice, it is a response that you have zero control over.
I agree that while one may have no fear when contemplating the logic that death is inevitable, that it may well prove different when the time comes to test the theory from the personal perspective.