I think it depends on the fish. Stretching is the main reason for most of my triggers. The Niger, Bluethroat, and Indian all open their mouth wide and display both triggers.
My undulated only flashes triggers for aggression reasons. Also has the largest triggers, appears to almost double in size.
Lei trigger always seems to have the top trigger halfway out, but this is a bold and assertive fish looking for a fight.
Humu only does it to sleep.