Yes. The signal is supposed to be a pure sine wave. The picture of its frequency spectrum would be a delta-function at 60Hz. If the duty cycle was not 50% it would not be a pure sine wave.
A pure sine wave has a 50% duty cycle because exactly 50% of it is positive and exactly 50% of it is negative. If its duty cycle was different then it would not be 50-50 and it would have even-numbered harmonics.