What if instead of kitchen cupboards, we all had two dishwashers? You would alternately use one machine for collecting dirty dishes and the other for storing the clean dishes. When the dirty-dish-machine was full, you would run the washing cycle and then begin using the newly-cleaned dishes from that machine. The second machine would then become the dirty-dish collector. Eureka! One would never need to unload the dishwasher again!
One minor glitch: if there are any clean dishes left in the second dishwasher, there may be an interim period where dirty dishes need to be stacked nearby until the machine is emptied.