Iwasjustabout, I am aware of that characteristic of gifted children. But is it really because they have things in common?
A lot of people here have experience of that too, but maybe not to the degree of OP's dc.
My ds does martial arts in adult class. He doesn't have anyone matches his ability in his age group. Yet if the people in his class fight with him with full ability, he will not have the chance. He can practice well because they fight with him with a bit of consideration about his capabilities and size.
What I mean is, they say they prefer adult convo, but are they willing to listen too? Not just talk about their interest? Can they cope if the adult disagreed or ignored the child?
I do think they are capable of having a convo with adults. But not without adults compromising. At one stage, my ds became selective mute, because he couldn't have convo with other children, while he was having verbal diarrhea at home about numbers. It's not really sharing something in common. I was accomodating his needs by listening, but children in his nursery weren't. Eventually he learned that relationship works both way, not just doing what he wants, but tolerating others, showing interest to other people.
Unless OP's child has emotional intelligence as well as academic intelligence, learning few social skills while he is young would help her child in the long run.
As for namechange, I doubt it will help, unless she changes the way she posts. I can tell last few namechanges by OP. It's always the same scenario, no matter how many name changes.