In any system, there are false positives and false negatives. In some situations (like a high recall disease detection) false negatives are much worse than false positives, because the cost of a false positive is a more rigorous screening.

But in this case both are bad. If it was a false negative students might need therapy for a more tragic reason.

Aside from improving the quality of the detection model, we should try to reduce the “cost” of both failure modes as much as possible. Putting a human in the loop or having secondary checks are ways to do that.