another one here with a baby that moved alot in utero & hasn't stopped since i won't call it hyperactive, i call it 'busy'!

similar to you - when i went for my NT scan the dr called him a 'cheeky monkey' because he wouldn't stop moving for the ultrasound. i had GD & had CTG monitoring & i was always on for longer than everyone else because he just wouldn't settle down.

no idea if there's any official correlation though!