How is that different than a dishwasher? The problem is collecting the dishes and putting them away, not washing them. Unless you’re imagining something to scrub pots and pans?
I think that in reality, most people do a very light pre-wash of many dishes, before loading them into the dishwasher. I know I do. I'd be happier if I could just stick the plates in the sink, and come back an hour later to find the dishes, pots, pans and utensils drying in a rack.