If Vernonia had insisted that all students submit to drug tests, would the court have upheld the policy

I do think the court would upheld the policy because in Vernonia v. Acton, case, the Supreme Court ruled that an Oregon school board's random drug testing policy for student athletes was rational and fair under the Fourth Amendment. Court found the intrusion of privacy to be negligible and justify the drug testing on the basic that student athletes have less privacy than the general population, because student athletes are children, and children lack basic rights in schools. However such search of a student by a school official must be reasonable under all the circumstances.