Yes, but there's also a limit. For the dishwashing, consider that you can already exchange money for a maximally efficient, maximally flexible solution: you can hire someone to do your dishes. How much would you pay for a live in, automata like servant who washes all your dishes for you? What about if they could do many other things? $1k? $5k? $100k? What about the maintenance? What're the ongoing costs like?

Sure, if a dishwasher is $1k and the robot has a high success (not many broken dishes) rate AND can do other things AND is priced like a nice used car (up to $35k) then yeah, maybe? But there's so much of "it depends" in there that it's hard to say for sure. In curious what price/generality/reliability you have in mind when you say "many people would prefer..."