FiveFrameSwing
Banned
Here is a study on the question. He has done the math for you and makes nice graphs.
Bat Weight, Swing Speed and Ball Velocity
Regarding this graph ...
Notice the 'red' "batted ball speed" curve. The 'red' curve doesn't drop off much after it peaks ... sort of flat. I interpret this to imply that those with a healthy swing are not as greatly impacted by a small increase in barrel weight.
Compare that graph to the following graph ....
Notice how the 'red' curve drops off more sharply with increases in barrel weight. I interpret this to imply that those with an inferior swing ... arm swingers ... are more at the mercy of barrel weight.