I get the feeling that when Conner was a touch younger he was having troubles making friends at school, perhaps a little socially awkward, perhaps a little ahead of his peers. Carol, who I'm picturing as a helicopter parent, is very concerned about his lack of friends so a well-meaning teacher tells her something like "Conner's just a bit ahead of his peers, he might be gifted, give him some time", of course what she heard was "My son is brilliant and gifted!", and latched onto that. If Conner balanced a spoon on his nose, she'd be calling it a "gifted talent". Conner is probably a bright child and has figured out he can get away with any behavior because well, his mom is going to bellow about how gifted and talented he is. And everyone else must suffer.
My mom never trotted out the "I have a gifted daughter" line. When I graduated early from high school, when I got my AA in high school, she told people I was a hard worker. She'll tell people that I'm bright, or that I get things quickly, I've heard her say "I don't worry about Glitter, she's smart, she knows how to take care of herself". But if I got on all fours and mewed like a cat in public she'd tell me to knock it off and pretend to be normal. I don't want to imagine what she would've done if I hit her or called everyone fat.
I'm reminded of a line from Big Bang Theory "itís okay to be smarter than everybody but you canít go around pointing it out", someone really should've told Carol.