I think 2xTY and TB are richer than LB, and cells can grow to a higher density in the richer media, thus you would get better yields. But to get the best yields of recombinant proteins, you probably need to optimize growth and induction conditions for individual proteins.
2X-YT and terrific broth are highly nutritious mediums for bacteria growth. They allow culturing bacteria with a higher density, boosting the yields of recombinant proteins.