1: https://www.consumerreports.org/dishwashers/energy-efficient...
0. use aerating faucet head to increase spread of water.
1. Short splash of cold water to remove stuck-on food, letting it sit if needed.
2. Wash with detergent on wet sponge, no added water.
3. Rinse with cold water, low water volume, with stacked dishes below faucet so that water from the rinse is rinsing dishes below as well.
I've never measured how much water is used, but I would think that it's fairly competitive against a dishwasher.
That's like just over a minute of the tap being on full blast for an aerated tap.
I am sure you could compete with that if you really tried, but from what I've seen a lot of people simply leave the tap on for the majority of the time they are washing the dishes.
Also, an additional difference between handwashing and using a dishwasher is the environmental impact of the manufacturing of the dishwasher, if the main concern is the environment. If the main reason is reducing work, then the dishwasher comes out ahead.
Finally, there has been very few times where it has been necessary for me to use hot water instead of cold. Unless I had burned the food, almost everything will come off after a good soak and scrub, even in cold water.
I have an unusual interest in this topic. I grew up in the UK, and that's just how people do the dishes. Or at least, the people in my orbit. So when I see that on TV, it's completely normal.
But, I now live in Mexico and everybody uses some variation of your method (again, everybody with a "people I've observed washing the dishes" qualifier). I find it completely bizarre.