No, this is just about washing machines, not washer-dryers or doing both in sequence.

Due to ecodesign legislation, I would assume that all machines that can be legally sold in the EU would count as "uses less water" in the US.

The dishwashers are another can of worms. My last one had an EU and a non-EU program, and you quickly learned to pick the "non-efficient" one if you actually wanted clean dishes.

My experience with dishwashers is that there are bad and good ones regardless of country. I had terrible and great dishwashers in the US, Australia, and Europe (basically in all countries there). The same with washing machines.