Not only did I not "reject the same process being able to operate on Earth," I gave you an example of it. Stop playing games. Surely you're sharp enough to realize that just because something can happen a certain way doesn't mean it had to happen that way every time.
You said, "everything you've been agreeing to suggests a slow Grand Canyon origin and a fast Martian canyon." I said I reject that idea.
Whatever caused the short wide bit would have had a tremendous impact on everything else under it. It is my understanding that a large water source will start out strong and slowly taper off. This piece of common sense explains both features we are referring to.And you yourself acknowledged that the shape of the canyon will depend on the rate of the water flow; perhaps it's no accident that you have stubbornly refused to comment on the meandering nature of not only the Grand Canyon, but also the much larger system of which it is part. Instead, you've focused on one small stretch in the middle, presumably because it is the straightest bit you could find, even though you then admitted that whatever water might have been responsible for that short wide bit could not have been responsible for the Grand Canyon itself!
The meandering features were formed by slower moving water. The wide and straight parts were formed by a large influx of fast moving water. In progressing from the large volume to the no volume we see today the flow of water also went from fast to slow.And though you won't say why you acknowledge that, isn't it because the Grand Canyon is just too meandering to have been formed by a single short blast of fast-moving water?