Two hours later, I’m back. I think scrub is the key word. When I invested in SS waterless cookware in 1975 I decided that they had two sides that needed to be cleaned. What ever it took, soap or Brillo pads both sides got cleaned with every use. Due to that philosophy and scrubbing them clean except for scratches they look like new 40 years later with at least 20 years of daily use plus. Scrubbing is appropriate for SS, aluminum, ceramic coatings and even teflon pans to get them clean and looking good.
Now switch gears to cast iron. Scrubbing is not appropriate for cast iron. CI skillets are the easiest of skillets to clean. First we scrape the bottom smooth with a spatula, wipe out excess grease with a paper towel, wash with hot water and a piece of loofa or a paper towel, rinse and dry. I’m pro-seasoning inside and out so inside and out get the same treatment.
I understand that you may need to scrub. If so, scrub on the outside until you tire and then wash off the inside gently. Any food residue will quickly sterilize upon reheating and add to your seasoning. I only scrub to keep something looking like new.
Hilditch
PS: Go ahead & fry some things in your DO, it will love you for for it!