Nope. A modern dishwasher uses 2-3 gallons per load. If your dishwasher has Eco modes or a half-cycle mode, you can use even less. A typical kitchen faucet will deliver 2 gallons per minute. If you run your faucet for longer than that, and most people absolutely will, you are wasting water by hand washing.
> you are wasting water by hand washing.
that depends entirely how you hand-wash your dishes. There is not a single way to do it.
> A modern dishwasher uses 2-3 gallons per load
Maybe, but then you have to factor that the quality of the rinsing has nothing to do with hand-washing. I'd prefer my plates without traces of detergents.
These arguments justifying dishwashers are silly. How expensive is your water that this small saving is going to offset the cost of electricity and the appliance itself? You use a dishwasher because you're lazy, not because of efficiency or cost benefits. It's OK to just say. I hate washing dishes too.
1.5 hours a day and a high water bill is a ridiculous exaggeration, though. Like with anything, the more you do it the better you get at it. I wash dishes currently because I don't have a dishwasher. It takes 10-20 minutes tops, and my water bill is lower than my internet bill (and much lower than internet + various media subscription services that I don't need).
It’s not just laziness or cost. Dishwashers use less water than manual washing. Clean water is a scarce resource.