I like the DH rule the way it is. The added strategy your proposal would suggest would, in fact, be interesting. Still, I'm not fond of changing rules very often. If the game had been invented with a DH and then 100 years later someone said, "Hey, I know! Let's have the pitcher hit!" everyone would think that person was an idiot. That said, I like the one league having the DH and the other league having their pitchers bat.