How do you handle injury? Or feigned injury or whatever? Maybe they come out and they can’t play again for 5 days like a starter. The union probably wouldn’t go for it.
Freegards
I think a 3-pitcher limit rule, will make managers try to keep their starters in longer, that also mean pitchers will have to focus more on getting quick outs, which means more balls will be in play, and fewer pitches necessary, instead of going for strikeouts.
And it just might cut down on the number of injuries to pitchers.