Now that I've had a little more time to think about it, Yul most likely would not have won without the 3 way final TC. He would have gone down in history with the Lex's, Kathy, RobC, etc who never made it to the final round. Because Ozzy would likely have won any immunity in the final round and he wouldn't have been stupid enough to bring Yul with him to the finals!!!
So they basically just used Becky to make sure they got a great final matchup of two great competitors!!!