Reared two kids with diagnosed, documented ADD and ADHD. What you say is true.
Both have IQs at the very top of the chart. Much of their problem, particularly in the classroom, was learning to focus on one idea at a time.
I had a teacher tell me once, while pulling her hair, that my kid, while bouncing off the walls, could retain all she said, while other kids staring her in the eye could not. I never medicated the kids, but always took the teacher’s side and demanded accountability and appropriate behavior. There’s a time and place for everything, including excess energy.
It was darned hard teaching those children self-discipline and how to channel that excess into appropriate settings.
They’re grown now, doing well, still full of ideas, but voting right.
It isn’t easy to say the least but well worth it in the end. Most of the school problems is simply boredom. They learn so fast they lose interest because they want to learn more!