When to put new ball into play after HR?

[BHBlue]

I have been instructed by more than one conference coodinator to throw the ball to the pitcher rather than toss it to the catcher. The reason given was that it helps to reenforce the perception that the umpire is in control of the game. It's a small thing, but sometimes perception is reality in the minds of coaches. I also heard one coordinator tell an official it was OK for him to toss it to the catcher because he "threw like a girl".
I have seen some pretty poor throws myself, so I guess each official should have someone evaluate their throwing ability and advise them as to which way is best.