(Source: bought a new one a couple of years ago! I assumed a hot water feed would be more efficient, but very few models had it and they weren’t necessarily cheaper to run. Thinking about it, an electric heater inside the washer that heats exactly the amount needed is going to be way more efficient than getting hot water at a random temperature from a gas combi boiler.)
Ya, I think the same is true in America. Most residential hot water tanks do not produce potable water. So, it wouldn't make sense to rinse your clean dishes with water that may contain bacteria and spores. Of course, you don't want to rinse hot glass with cold water either (potential breakage), so now you have to heat the water. So, you may as well just have cold water as the only source and heat it.
It's the same reason coffee machines tell you to fill them with cold water -- it has nothing to do with the temperature of the water, it's all about the potability of the water.
As a consumer of residential hot water tanks for 40+ years, this is news to me. How is the water in a residential hot water tank not potable?
https://www.epa.gov/sites/default/files/2015-09/documents/20...