I think this may be addressing the question in the wrong way. Suicide isn't really popular, in that most see it having a negative stigma. Now, if you're talking about the right to end one's life, that becomes more popular, depending on the actual situation. For instance, the idea that one should be able to have something like physician assisted suicide, or something along those lines that allows one to cease living when they are at the end of their life, are terminally ill, or will die but it will be slow and painful, is more popular in general.
The idea of simply committing suicide though isn't popular, especially since more often than not, committing suicide is often something decided upon during a time of turmoil, when the person isn't necessarily thinking straight.
So the question is troublesome.