Answer
I agree with neither person. The net force does not point toward the center nor parallel to the track.
Work Step by Step
If an object is moving in a circle, there must be a non-zero component of acceleration toward the center of the circle.
If an object moving in a circle is speeding up, there must be a non-zero component of acceleration parallel to the track.
Therefore, the overall acceleration is neither toward the center nor parallel to the track. Therefore, the net force does not point toward the center nor parallel to the track.