I used to have breakfast on the way, lunch at the Uni/work, and a small dinner. 6 plates is therefore close to what I'd use in a week. It's also close to what I'd use nowadays if I weren't still in home office. And while I do have enough room now for a full-sized dishwasher, that wasn't always the case.
one person, almost one week of plates, washed while you're doing something else
or put some of those pots and pans in instead of plates, if they'll fit
They also are more efficient, water wise. Our dishwasher uses 8 liters per wash. If I fill our sink with 8 liters, it barely covers anything. Dish washers use more detergent though, this is why I switched to powder which can be dosed better.
I am guessing college students, vacation homes, etc.