I do not think that things like suicide should be stigmatized in society at all. There needs to be more help and better help available to those who are in need. That might lower the rate of suicide among citizens. Of course nothing would completely eradicate suicide but there should be more help available.
High rates of suicide in a society should be viewed as a failure of the society and their inability to identify and treat mental illness. Suicide will never be a problem that is 100% treatable, but if there are systems in place to help people who are struggling, then the problem would be severely reduced.