I don't think of it in terms of my team. I think of it universally. I'd rather the game have the person who is pitching, to hit. Felt that way since I became a baseball fan in the late-70s/early-80s. As a kid, I never understood why it was opposite. I always thought it was dumb. Just pick one. They did. For revenue-generating reasons. But at least it's equal now. But for me, I am not an overall DH fan.
I look back at the careers of players from the 50s and 60s in the AL...and then all the guys in the NL...if the DH was an option back in the day, how many of those players would have extended their careers a ton? Mantle might not have hurt his knee, could have played 25 years. Ted Williams, etc., the list goes on and on.
For me, baseball should go both ways. But the game is predicated on offense to generate revenue, and players want the DH to extend careers and potential earnings. So it is what it is. At least it's equal now.