Interesting if this is a US difference - but here (in the UK) at least dishwashers (usually? I suppose I don't want to claim to speak for 100%) only have a cold water inlet; they do their own heating.
Overall I've been quite happy with my premium-dishwasher experience, though there are a few little things that I don't love, like the fact that the rollers on the middle rack are no longer independently-replaceable. Seems like a huge step backward to have to replace the entire rack for like $200 just because one of those fails.
As an example Frigidaire, GE, KitchenAid, Whirlpool will only work with hot water; Samsung, Ikea, Beko will only work with cold water; and Bosch, Miele, Electrolux, LG will work with either.
> As an example Frigidaire, GE, KitchenAid, Whirlpool will only work with hot water
Yeah, afaik without actually looking into it, of those only Whirlpool is distributed here (KitchenAid stuff yes for sure, but not I think dishwashers) and as above I'm pretty sure they must be different models, just like LH/RH driver cars.
Of course you can import whatever you want, but then you should probably expect to deal with some such plumbing (and potentially electrical, at very least changing the plug) oddities.
In the US, it's common to have a water softener on the hot water line, intended to soften the inputs for appliances and showers. The cold water line is not softened, to avoid drinking sodium-laced water.
I don't claim authority on the matter though.