I tried to walk, but they didn't do his walking animation correctly. He'd do one step, then he'd place his next foot and just when it touches the ground, before ever even putting his weight on it he'd immediately "click" up to where he was basically floating at the level of the next higher step. Then, of course, he's going to take one more walking step that's just too short, so he has both feet on the same step, yet when he shifts his body weight forward until he is near the next step but not actually touching it, he "clicks" up again, so that this time he's not even touching it and is floating in mid air at the level of the next highest step, his big toe mere centimeters away from the step he should be standing on. And then, of course, it repeats all over because of his unusual step-distance when walking.
More irritating than just running up the steps and defiling the holy place. Though, to keep the darkness away, I always make sure to only enter the Temple of Time during the day and only walk run upon the steps/pedestal in the ray of light shining down.