I feel your pain. I'm not a fan of the American League due to the damned DH rule. It's heresy!
MLB conducted a poll among fans attending a game and found the favorable/unfavorable opinion toward the DH was almost exactly 50/50.
Breaking the vote down by league, it was like 92-8 in favor of the DH in the AL and 92-8 in favor of the pitcher batting in the NL.
In other words, the fans of both leagues are getting what they want.
BION the only thing I don't like about the designated hitter is the name. It sounds clunky, especially coming out of a PA announcer's mouth. I don't know what the name should instead be, but too bad they didn't come up with that name when it was launched in one or two of the minor leagues a couple of years before it came into the Paul Simon League (you know, "You Can Call Me AL" :0)
The strategic aspect of the DH, I never pay attention to.
ff