This threat is likely to increase suicide rates, rendering the "punishment" totally ineffective. If people having suicidal thoughts are able to share these with others there is chance they can be talked out of carrying through the act. and encouraged to seek professional help. Just speaking about their concerns can help make their problems feel more bearable.
The university threatening to punish students for discussing suicidal thoughts with friends will likely cause more students to commit suicide. Sometimes when a person discusses suicide, they are merely trying to call out for help. Banning any discussion could make these troubled students take their lives without seeking help from others.
I believe that punishing students for discussing suicidal thoughts with their friends in universities could potentially increase the number of suicides. Discussing issues and thoughts of suicide is one of the keys to prevention, and usually starts with friends or immediate family. To punish students for reaching out in the most simple form could cause more harm than good.
Yes, by threatening to punish university students who speak about their suicidal thoughts with friends, suicides will increase. In addition to providing students with resources to help one another with mental health issues, universities absolutely must do more work to promote suicide awareness and support systems. By punishing students, universities will be silencing students, which is incredibly dangerous with mental health issues.