Even if the Sox wanted to put in a new screen, where would it be? There's no room for it.
Screw it! I want a new stadium!
They took out a billboard in left field for the Fundamentals deck in left field. If they took out the two in center, there would be room. I'm sure they would more than make up the revenue in advertising on a video board that size.
Having a big scoreboard would make the rest of the ballpark seem more intimate also.