At least with my Eco, it will lay parallel lines on a very hard launch. The only time it does a 1-wheel wonder is when flooring it in a low gear while turning sharply on a wet road. Keeping the wheels straight ahead gets fairly equal torque to both of them. It's not surprising, since this drivetrain was designed to minimize torque steer mechanically with the traction control as a backup.
Doing repeated hard acceleration runs is harder on the AT than the MT. With the MT it's the clutch and synchros taking the abuse, while with the AT it's the shift solenoids and other delicate electronic bits getting hotted up. Those electronics don't like being warm, while the mechanical bits in the MT could care less about the temperature (up to a very high point). If one's planning on doing sustained high-speed runs across the desert or western mountains, or even a lot of drag racing with the AT Cruze, an auxiliary transmission cooler would be a wise investment. Lower transmission temperatures = happier electronics = longer transmission life.