For the first time I've see, I think your age is catching up with you a bit Sharingan. To pretend that most people, or indeed any significant number, who commit suicide did so rationally is to completely misunderstand the problem. People lose perspective. Things can pile up and become a far greater problem in their head than they are. I won't estimate a figure, because I don't know, but in no case that I have heard of, and I have heard of a few, was suicide the rational answer to a rational problem. That is, leaving aside the cases of assisted suicides of people living in daily physical pain, discussed at length elsewhere.
If you have considered some scenarios where you would rationally want to kill yourself, I'm slightly surprised, although it does depend on the scenario. If you think that this particular case was one such scenario, you are mistaken. If you think that cutting off your life to spite my offer of help is a legitimate reason, you are mistaken. Your life isn't worth making such a point over. And if you think that most people who committed suicide thought at the time like you do now, you are mistaken. Such people need help to face their problems and learn how to overcome them, and should not be ignored.