Here's a story, which is interesting, just by the way. We have a local preschool which is big, and very good. There was a set of boy and girl twins, and staff noticed an issue with the girl speech. They spoke to the parents, and the public health nurse agreed, and details were sent to speech therapy.
Except the public health nurse decided it must be the boy, it's always the boy. And when the appointment was made it was for the wrong child,so the process had to begin again.
We spent a short while in the states, the school system from preschool to high school was straight forward, but a nurse, psychologist, speech therapist etc was part of the system. There was even a nit nurse.
And the American health system is a mess!