The psychological effects could work either way. Some could push a person more towards suicide and others further away. Just like the heart patient we dont know what effects occurred unless we took 1,000 people who had heart transplants and 1,000 who didnt and see if there is a difference in populations.
since we know kids commit suicide regardless of whether they go to a program or not the only way to know for sure if the program caused it was if they left a note. Another approach would be a controlled study of a 1,000 kids who were denied the help of a program compared to 1,000 kids who attended a program and look for trends to see if one group has a higher rate than the other. But even then we wouldnt know the cause of the individual suicides because they occur in each group (unless, again, the person left a note).