my son would do the same. He's not HG but very talented and all MATH. Once I started partially homeschooling him I saw that following instructions was an issue.
As a result of NEVER having to follow them b/c he'd put it all together, he got frustrated when harder material came that he actually had to sit through the instruction.
For me, as a parent, I sometimes forget the other piece of the puzzle to being gifted: he's still just 8! Meaning that just b/c they're gifted or exceptionally gifted, they still need to learn basics - which for these kids seems difficult b/c they have to slow down. Once learned that this is part of their process - full steam ahead!
Learning the life skills to cope is important but I do think the schools seem to rely on that heavily to not have to make alternative adjustments.... JMO.
Good luck - I've had NONE with the schools - but you have hard core data that should speak loud & clear for you.
My son is also highly social and an amazing leader (much of that feeds into his confidence & high self-esteem) so taking him out for full time HS isn't in his best interest.
During our partial HS, I can help him with coping where he needs it (like not teaching the teacher) and other social issues related to boys, being gifted and the like.