Of course the kid (as you described) with the good hitting coach will do better. I have always subscribed to that concept and philosophy. Part of what needs to be determined is exactly what consitutes a good hitting coach. The guy who keeps it simple, teaches the basics, goes on to recognition of pitches and the right approach and who instills in the player the desire to move forward on his own versus the guy who does the same things but gets so immersed in theory and technical issues that the hitter loses spontanaity and begins thinking too much.
Probably, there are many shades of gray, but I get back to my original point that many of us parents are driven by the hope that it is the next lesson that will make everything fall into place. I just don't think that's true.