That definition is not in terms of the motion of light. Of course, once we have defined a unit of time, we can define a unit of distance by using the speed of light, using the usual relation between speed, distance and time, but we cannot define a unit of time nor of distance using "the motion of light" alone.
That's exactly what we do. Come on, think it through. You're sitting in a gedanken rowboat ready to count the waves passing you by, only I've pressed my gedanken freeze-frame button. So there's no motion. None whatsover. So the waves don't move, the boat doesn't move, you don't move, and electromagnetic propagation doesn't propagate. So you can't think because all the signals in your brain are stopped, and you can't see because light is stopped too. I've stopped motion, not time, and now there is no time. Then when I press my
play button you count 9,192,631,770 waves passing you by, then you declare that
that's a second and proceed to define the metre and assert that the speed of those waves is 299,792,458 m/s. And when I rewind and press my
fast-forward button, you still count 9,192,631,770 waves passing you by, then you declare that
that's a second and proceed to define the metre and assert that the speed of those waves is 299,792,458 m/s. It doesn't matter how fast those waves are going, you use them to define your second and your metre, and you always say they're going at 299,792,458 m/s.
None of you motion fanatics have been able to come up with a way to quantify "motion".
You haven't quantified time either. And worse, you haven't really quantified the speed of light. When I show you the Shapiro delay and optical clocks losing synchronisation at different elevations, you explain it away using something that nobody can see. And when I subject you to gravitational time dilation you insist that time's passing slower not light. What time? I can see light moving, but I can't see time passing. There are no motion fanatics. Just people with an eye for what's actually there.