Unfortunately, I don't think he could do anything close. Perkins offense has grown dramatically over the last few years, and that is a credit to his work ethic. However, he really only is effective offensively when he is facing single coverage in the post, and getting dishes from Rondo for easy baskets. If he were a bigger part of the offense, that would change dramatically. Teams would not allow him to hold on to the ball, they would force him to move further from the basket, and they simply would not give him room to work.
Right now, I think Perk's offensive numbers and efficiency have a ton to do with the guys he is playing with. Teams do not gameplan for him, which allows him to basically fly under the radar (I think this was also one of the reasons Powe was so efficient). That would change if he were a primary option.
Ultimately, I don't know why anyone would really care about this anyways. Perk is a defensive force. He is one of the better defenders in the league, and he continues to improve. Anything they get from him offensively is just gravy...and I do not anticipate that changing.