An automatic dishwasher is more for sanitizing than removing the mechanical aspects of hand washing.
There are two schools of thought about dishwashers. This is one.
The other schools is that a dishwasher is to replace hand washing.
I had a friend who was of the 2nd school, and his girlfriend was of the 1st school. He basically tied her down to a chair, loaded the dishwasher his way - without pre-washing, just shoving everything in. He started it.
They waited.
In the end, they opened it... AND THE DISHES WERE CLEAN.
I recommend you try the experiment. It might not work with your dishwasher (especially if you are an American and have a rental property, as landlords in the US put in the cheapest shit they can). But it might!!! Think of the hours of your life you'll get back....