I don't know about the SI part, but I have worked in an industrial kitchen where burns from first degree to severe second degree were common (at least to me. I was 45 before I found out I was clumsy) and a few years ago, a campfire got ahold of me leaving sever second degree burns up my arm from wrist to elbow. all this experience is to mention a few simple things.

1. as soon as you get burned get rid of the heat! COOL IT OFF! stick it under cold running water if at all possible.

2. for the first few days depending on how your body heals, keep the burn moist and cool as you can. blister or no blister. I had a blister as long as my arm, I kept it moist for the first 2 or 3 days then let it dry out because that is how my body deals with burn injuries. yes, I had this huge scab that looked like alligator skin, but it was healing, and stopped hurting after a day or so.

3. if you must use burn crème, the two best I have found are cold press aloe vera gel (store bought or from the plant) and prescription Silveden crème. (not sure how to spell it, but that is what the name sounds like) this stuff ROCKS in the pain/heal department! I was prescribed this when I had an old fashioned M-80 try to blow my hand off back in the '70s (now THAT was a burn! lol)