The strike zone would be fixed to rule book definition, so the strike zone won't change from one ump to another. It would make things a lot more predictable for the pitcher and there would be no reputation to worry about with the umps. I think it would be a net benefit for the pitchers and batters would probably learn to hate it. The batters would be forced to swing at pitches that catch the corner of the strike zone because they know they aren't getting the benefit of the doubt from the home plate ump. Catchers right now quickly pick up on how an ump is calling a particular game and adjust their signs to the pitcher accordingly. With a fixed strike zone, pitchers wouldn't need the signs because they can see where their ball is crossing the plate. How it looks to the ump or catcher becomes less relevant. On the other hand, it may free up the catcher to focus more on the batter's swing and stance rather than trying to calculate where the ump is calling it tonight.