In an attempt to answer the actual question you asked, the quality of the tone isn't determined by whether the back is two or three pieces. In fact, I'll go way out on a limb here to speculate that you could gather a group of expert and discerning audiophiles, blindfold them all, and they wouldn't be able to determine which guitar is which. It's very likely that they will hear a difference, but not due to the amount of panels used to build the back of the guitar.
Buy the guitar that speaks to you, grabs you by the ankle to prevent you from leaving the store without it, and seduces you into taking it home.