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The comparative studies that I saw didn't seem to take into account the manufacture and transport of dishwashers
That is much less significant than your other point...
and seemed to assume the normal way to handwash included running the water constantly or at least using a second sink full of hot water that had to be periodically re-warmed.
The energy required to create and transport a dishwasher is trivial compared to the energy consumed by washing dishes over its typical lifespan.
I still say that washing dishes by hand uses less water and energy.
The comparative studies that I saw didn't seem to take into account the manufacture and transport of dishwashers and seemed to assume the normal way to handwash included running the water constantly or at least using a second sink full of hot water that had to be periodically re-warmed.
Also, people that come over often comment on what good shape our older dishes and cutlery are in - I think there's a correlation.
Besides, I sing better washing the dishes than when I'm taking a shower. (not a euph)
Oh, and ultimately the disposal costs and energy too.
Then you gotta buy another one.