As a subtle point - in the "psychology of informorphs", one could say that even something as simple as cancelling their medical clones is, in a sense, a form of 'passive suicide' (may not be the actual term for it), but in the sense of "throwing onself in front of the cops to let them do the killing", but even if the informorph does this and then retires planetside, they are throwing themselves in front of time and eventuality of biomass/a mortal body. "I don't want to be immortal anymore" pretty much equates to "I want to die". An informorph ending their own life and waking in a vat happens every day they undock planning pew and not being on the winning side, bait pilots, null pilots taking the pod express, etc...
It's no more difficult for an infomorph to commit suicide than anyone else, but something I personaly tak einto considertion (I don't know if anyone else does) is the requirements for capsuleer compatability. I'm not sure if they're ever even vaugely drawn out in PF anywhere, but personally assumed that it was not only some "magic gene" or ability to accomodate physical stressors, but also test for psychological stressors as well. Any capsuleer who is trying to gank themselves due to those reasons has undergone a stressor above and beyond anything a baseliner would experience in the fight - flight - exhaustion chain of events that leads to this sort of behavior.
So along those lines, your average "teen angst on a fragile psyche" at least in my opinion wouldn't apply to someone who can kill a thousand spaceship crew before breakfast. It would have to be something .. big.
Then, of course, you can play into the racial / factional behaviors of the specific character. An Amarrian might end their ownlife for a completely different reason than a Caldari, for example.