In my humble opinion Get rid of the NLs antiquated pitcher at the bat. Just when you get a couple in scoring position up steps the primadona hurler. Then you need to keep a phalanx of pitchers on board along with extra guys to pinch hit.
The so called strategy of dealing with a crappy hitting cy young window is
Just frustrating and unnecessary.
Without this antiquity you have a number of relief pitchers and a couple of DHs who can double as position players.
Having the pitcher bat adds to the strategy of the game. Do you let your pitcher continue even though he is given up hits, because his spot to hit is coming up in ext inning, or do you take him out & burn a pitcher...? Same with batting - do you bat him in a potential run producing situation, even if he is pitching well, knowing your bullpen was used yesterday.....
having the pitcher bat, only adds to the game, IMO