Great question.
Are both short beds the same length? As these trucks get newer, the "short bed" name takes on different meanings. There could be a couple of inches difference between the two "short beds".
I would suspect that as long as the mounting holes are in the same location on the same crossmembers, and there is clearance between the front of the bed sides and the cab corners, it would bolt on. In addition to the bed side style, there could be a lot of other details (like taillights) that could become a problem.