There are no dishwashers in Europe that can be connected to hit water. I had no idea that this is a thing somewhere.
Are US washing machines connected to hot water as well?
That's no true - many european dishwashers can be connected to cold or to hot water. I have a Siemens one that has this option.
Oh, really? I cannot say that I've tried them all, but the maybe 6 or 7 I had (mine or part of a rental) had only cold water connections.
Yes! US washing machines have dual water intakes: one for cold and one for hot.