Earlier quoted context omitted.
Dishwashers make sense if you have a lot of dishes, and make a practice of filling the dishwasher before washing. For a single person, this can take many days. The total amount of water and time ends up being less by using the dishwasher. However, if you have a small number of dishes so that you can't afford to wait 3-7 days between washings, and need to clean them daily, the dishwasher makes no sense.
Are people really leaving dirty dishes in the dishwasher for a week? That sounds like it would smell terrible and anything left on the earlier plates would be dry as cement by then.
If your dish is covered in dried yogurt & avocado slime - a lot of time the dish washer won't even get it off.