Your insight into what's going on in a head like mine is spot on, and I have wished for a long time that my parents would (ever) have made an effort to put me in rooms where I wasn't the "smartest" person there. When I was young, I was often the least experienced, but throughout school even, it was obvious to me and usually to them that I was smarter than my teachers.
It sounds like a humble brag but it's not. It's more like a cautionary tale. Smart children need the experience of having to work to understand things, of knowing there are things other people know or that humanity in general could know, but not instantaneously.
Intelligence could be a powerful tool, but there are precious few people teaching children (or, heck, adults for that matter! I would pay serious money for a remedial "how to work hard for things and make incremental progress" classes as an adult!) who have it how to use it.