For example even if my phone charger were to get twice as efficient, it’s drawing very little power, given that it spends most of its time unplugged: it uses a fraction of a watt. That means that I would have to use it for an extremely long time to get near to the amount of energy used to manufacture a new one.
This doesn’t take into account the savings in drinkable water which has most likely been through an energy-intensive process as well.
If you have collective washing machines as a public service running 24/7, the tradeoff may be worth it, but as a general rule it's certainly not the case. Extracting and refining materials for industrial processes consumes millions and millions of m³ of water and a lot of energy.
Our perception as consumers is skewed because the price we pay for electricity/water makes it economically more affordable to us to get newer devices, but from a resource usage perspective, that's certainly not a good deal for the planet. If we paid water/electricity the price that big industries do, we wouldn't even think getting a new device was a reasonable choice.
Did we discover new phisics of washing? Do we have any reason to believe further improvement is possible?
This is a physical process, you can't have infinite improvement - there is a certain minimum amount of water required to dissolve detergent, and it can be easilly calculated.
They don't do much, does anyone have a real explanation without any handwaving?
The new machines are better. I'm not an expert, but I think the biggest differences are: sensors to stop adding water when it isn't necessary, a really powerful spinner in the washer that dries the clothes better, powerful spinner in the dryer. Btw, my washing machine is top load, fwiw.
Oh, and to answer a different question: why didn't we have this stuff years ago? I think, no one cared enough to do it.
The old top loader basically filled up a big tub with hot water and sloshed it around a bit.
Modern front loaders just incrementally add the amount of water needed as determined by weight. Presumably wouldn’t have worked nearly as well with the available detergents of 50 years ago.
Secondly, while I never used a top loader, from everything I've read, they are worse in every dimention, so the comparison seems inappropriate - you are introducing extra variables.
Also I am not clear why 'incrementally adding water' was not possible previously, People built a 'smart' toaster 70 years ago, that could sence how cooked your bread is, and it was purely mechanical:
https://www.theverge.com/22801890/sunbeam-radiant-control-to...
Added: And toasters still do a crap job of figuring out done-ness.
The most water-efficient models in our ratings use an average of 10 gallons of water, 75 percent less than older models.
https://www.consumerreports.org/washing-machines/best-eco-fr...