Actually both the School Psychology and School Counseling Degree in New York anyhow have the same amount of credits, are considered specialist degrees as they both contain a CAS (Certificate of Advanced Study) and need to do practicums, internships and take license exams. Both have exposure to assessment and counseling to a degree, however, each has a special reason within the school and overall training. One is not better then the other and many people automatically think because one has a title of psychologist that they are the supreme degree of school based mental health and this is not the case. School Psychologists test to help the CSE department to see if a child needs special services or not. They themselves do not diagnosis any of the 13 disorders of I.D.E.A, but are psycho-metricians and consults between special education, staff and parents. Counselors are based more in providing moment to moment mental health, implementing programs and other assessments (School Psychologists do IQ testing exclusively within the school system). Counselors also sit on CSE boards, provide expertise and provide services that help staff and parents work together. Also, School counselors learn a great degree more psychotherapy (that is what counseling really is) then School Psychs, since psych's are busy with cognitive assessment training.
Word of warning: When I was in School Psych you learn quickly that counselors have the better job. We just test and report and are special-ed gate keepers. You learn also that School Psychology within the field are overworked in testing not stop and are becoming obsolete with the coming of RIT intervention and out sourcing.