This is not what the President's commision has recommended.
Here is the President's New Freedom Commission on Mental Health's Final Report.
Here's an excerpt from Goal 4: Early Mental Health Screening, Assessment, and Referral to Services Are Common Practice
"Schools are in a key position to identify mental health problems early and to provide a link to appropriate services. Every day more than 52 million students attend over 114,000 schools in the U.S. When combined with the six million adults working at those schools, almost one-fifth of the population passes through the Nation's schools on any given weekday.122 Clearly, strong school mental health programs can attend to the health and behavioral concerns of students, reduce unnecessary pain and suffering, and help ensure academic achievement."
Further down, the commission advocates a particular screening model developed at Columbia University:
All youngsters in a school, with parental consent, are given a computer-based questionnaire that screens them for mental illnesses and suicide risk. At no charge, the Columbia University TeenScreen® Program provides consultation, screening materials, software, training, and technical assistance to qualifying schools and communities. In return, TeenScreen® partners are expected to screen at least 200 youth per year and ensure that a licensed mental health professional is on-site to give immediate counseling and referral services for youth at greatest risk. The Columbia TeenScreen® Program is a not-for-profit organization funded solely by foundations. When the program identifies youth needing treatment, their care is paid for depending on the family's health coverage."
That's "all youngsters" in public schools, with parental consent, who are being targeted for mental screening. This is a mental health dragnet, not a situation where "a child is presenting with behavioral or learning problems that has come to the attention of the school diagnostician, school psychologist or school nurse."