He looks painfully shy to me. I know the look because I was, and still am, that way in public places. School was especially painful for me. I was an excellent student but didn’t make many friends, wasn’t in any clubs, etc. I was always a loner.
I have seen speculation that Barron may be Autistic or have Asperger Syndrome. I think this is entirely possible based on what I have seen.
If this is the case, a sudden disruption in his life could have extremely negative consequences for him. Such a transition needs to be made slowly and thoughtfully.
Let him finish his school year, and slowly introduce him to what will be his new surroundings. Evaluate how he is coping, and then decide what is best for him.
They are doing this exactly right.