From Dr. Russell, "a gain in batted-ball speed only results if you are swinging the same bat faster. Swinging a lower MOI bat faster does not resulting in a faster batted-ball speed. This is because the effectiveness of the collision between bat and ball depends on the MOI of the bat, and a lower MOI bat produces a less effective collision with the ball. If the bat-swing speed is held constant, a bat with a lower moment-of-inertia produces a less-effective collision with the ball such that the batted-ball speed actually decreases for the lower MOI bat. In fact, when a player switches to a lower MOI bat, the increase in batted-ball speed due to higher swing speed is almost exactly cancelled out by the reduction in batted-ball speed because the lower MOI bat impacts the ball less effectively."
Since the same bat is not being used it is possible the girl with the slower swing speed is using a bat with a higher moment of inertia
This wouldn't explain the opposite results off a tee.