I know that hand washing is water-inefficient, compared to modern machines, but I find it a very satisfying activity. When I was working from home I found it a great activity to use as a break from work.
there are other considerations as well. a dishwasher has a breakeven point of about 2 people eating ~2 meals a day (e.g., 4 place settings a day), because that's the least amount of dishes you need to run it once a day. anything less, and it becomes an additional cognitive load rather than being a mindless convenience. moreover, stuck-on food becomes extra dry overnight and that generally leads to less clean dishes. if you're a single person looking for an apartment (or even a couple who eat out all the time), you should consider a built-in dishwasher negative value because it's priced in to the cost but you likely won't use it (a washing machine is always nice to have though).
Yes, I also use very little water! Only the rinsing part at the end, which maybe takes 2 to 3 minutes on low (much of the water is reused).