Ok so you're saying that we are coiling as we stride forward, do we continue to coil once our toe touches? If I am trying to feel the pressure in my rear foot as I coil against my rear hip, I have a much better sensation of tension in the foot if I keep my weight back until toe touch then begin weight shift forward as I continue to coil before thrusting my rear hip. I just feel better tension or force if I continue to coil as I shift weight forward and I drop my front heal. If, on the other hand, I coil completely during the stride I find less weight, less force, less control in that back foot because it seems like I am unable to keep pressure there.
As I said, I believe the uncoil is the forward weight shift. That generally occurs somewhere between toe touch and heel plant. Keep in mind that when hitters stride, they do not shift their weight from one foot to the next and then swing (assuming they are not badly fooled). The weight shift or unwinding of the hips is what weights the front foot. The reason why pro hitters maintain such good balance...in space...as they stride, is because they coil their hips. Hitters that don't have a good coil will either keep too much weight back or they will get too much weight forward.
FYI - I view the term hip cock and hip coil as the same action.