Well, our son's social and emotional health declined when he was ill-challenged and improved when he had his intellectual needs met. So the two went together for him.
Note that appropriate challenge is different for different kids and isn't always about doing more faster. (Though sometimes it is.)
I'm not sure that's helpful, but it's what come to mind for me when I read your post...
For 4yo kids, I tend to be a fan of half-day, play-based preschools and doing projects at home. It depends on the child of course, but I don't think that early admission is necessarily the best option for a lot of kids. It can be hard to have to sit still so much. It's a perfect choice for some, but I wouldn't assume it's the right choice for all HG+ kids. (Not that you are!)
