I think there might be two different things being described here.
1. A kid who is constantly moving and moves even more when they are excited. This kid is moving and still engaged with the people and activities around them.
2. A kid who uses a repetitive movement (like pacing) to get lost in their own thoughts. While doing this, they are not interacting with anyone.
The results are similar (kid moves around a lot). A Kid 2 could be Kid 1 when not "thinking" but the "thinking" time is pretty different.
I am not sure if one or both are OE's as OE's seem very broad.
There was this post that seemed to fit Kid 2 also.
http://giftedissues.davidsongifted....typic_Movement_Disorder_.html#Post194825