Comment by sitkack
The analogy still holds if ones technique is to star with the cleanest things (keeps the clean water clean) until you throw the nastiest pans into the already dirty water. We should be building systems that make everything the optimal level of difficulty for us.
speaking as a former professional pearl diver, you soak your big stuff (or anything burnt or covered in melted cheese) while you wash the small stuff. then you can almost just rinse the big stuff unless it's really burnt on.
other good tips for home dishwashing: https://www.goodreads.com/book/show/48594284-how-to-wash-the...