Depends I think...
I've had suicidal thoughts, but everytime I have them, it's not to get rid of my problems because I don't have any serious ones, it's to rid society of myself, to get rid of some of it's problems. Sometimes I just feel like nothing more than a nuisance to society and I shouldn't be here, therefore I have those thoughts. Different things can spark it, but I never think of suicide to get rid of my problems, but to get rid of other people's.
My suicidal thoughts are unselfish. At least in the way I think about them. Depends on the opinion of the person in question. Some would say I'm insane. I'd agree. But I have friends who disagree. Blah, ramble, ramble.
tl;dr Depends on the individual person's opinion.