As a kid's baseball coach, I'd say that Obama has the better arm form through the pitch (but I need to see the whole video). Although he's lower body has nearly no strength in it, the leading elbow and wrist is in good position. His thumb is way out of position for a 4-seam and it's going to go wide and he's probably releasing way too early but decent arm/shoulder form. Bush has watched too many MLBers with the crazy way some take the ball back. I love the balance to the arms...very nice. We teach the kids to keep fingers on top of the ball in the back and he's got that right. I'd like to see the ball a little higher in the back, but sometimes depending on a kid/adults athleticism they can manage just fine. Stronger lower position...and better thoracic stretch through the chest in line with the plate. Has to be careful not to teeter totter too much on the back foot as no real movement backwards should take place...only from neutral to forward.
I feel sorry for the kids you teach. That is horrible analogies and concepts for teaching a child to pitch.