[EdZ]

Now I know what level is. However, I am unable to keep my right wrist in the newly defined position on the backswing. My right wrist goes to a technically cocked position according to the above photos, however visually it looks level. It's impossible to not cock my right wrist unless I eliminate any left wrist cock.

The left wrist is cocked by the motion of the right elbow, not the right wrist. That is how you can maintain no wrist cock in the right, but have a cocked left wrist.

Check that you are maintaining extensor action. It is likey that if you are cocking the right wrist, you probably are not.