Our dogs are the dishwashers, but I think your (fantastic) idea would require pairs, One in for "processing" and one out for use.
Sure save a lot of time!
Wife hates emptying the dishwasher, mainly hates the silverware basket. We have an agreement that I'll do the bottom rack with the silverware (which I don't mind) and she will do the top rack with all her coffee mugs.
I rarely wash my coffee mug, maybe a few times per year (Always black, never any silly additives so no bugs would dare take it over).
My work cup went 25 years without a wash (dropped it so had to start new). Always proud of that.
One of our lifer scientists at 40+ years was asked when he would wash his mug. Always a man of few words, "When the volume is significantly reduced"