I just want to share my experience with 2nd degree kitchen burns on my hands over the years. The largest burn (actual contact area with the hot item) about 1 1/2 inches by 1/2 inch, happened just 60 hours ago. Immediately after the burn the skin on my hand (on my outer palm below pinky) the contact area was white and very painful. I ran cold tap water over it for several minutes(winter time so water is pretty cold). I then broke open vitamin E capsules and squeezed the oil over the burn and much of the area surrounding it and kept it fully covered over the next 6 hours. For smaller burns I kept it on for a shorter periods. In 12 hours the pain was gone and the burn was only slightly red, no blister, skin fully intact. It took about 48 hours for a very small blister to form in the center of the burn area (1/4 inch x 1/2 inch). It is only slightly raised. Now at only 60 hours after, the contact area only looks discolored(a little darker but not red) with just the slightest blister at the center.
No where have I found Vitamin E as a first line of treatment but when I use it immediately, it really works for me.