Circumstances are different now and we dirty a dishwasher full every day, so it's definitely worth it to have one.
Overall, it depends on how much you dislike washing dishes, and how many you own. If you're single (which the fact you've posted this question on HN suggests though I don't jump to conclusions), I recommend owning as few as possible and just cleaning them as soon as you finish eating.
Dishwashing: when you have all of your best ideas after a long day.
I'm sure I would feel differently if I had a large family living with me.
On average I was waiting 36 liters and between 30 to 45 minutes every night doing the dishes. With that information I bought an extremely quiet, water saving Bosch dishwasher... Now loading the dishes takes 10 minutes and with the saved time I go to bed half an hour earlier...
I wish every piece of technology was as good for me as the my dishwasher
I like because its better at washing than me and I can keep the kitchen top clean