Yeah, great. Except we need to unload the dishwasher every day, which takes a lot longer when you have all sorts of kid's cups and bottles. We also need to bring the dishes over, rinse them, put them in, wash the pots & pans by hand along with the high chair's detachable eating area, wash the table, wash the cooking area & counters, and then wash the sink.
A dishwasher saves a lot of time but it certainly doesn't save all of the time.
If the $10k robot only lasted 5 years that's a budget of $2k/yr. They have an expectation of someone cleaning most nights of the week. Cleaning services around me will typically charge ~$50/hr. Having someone come for ~2 hours 5x a week means $500/week. You'll blow your budget in four weeks. There are a lot more than four weeks in a year.
But let's be generous and suggest you'll actually get someone willing to come out for just one hour and work for half the pay of market rate. Sixteen weeks. Still far short of 52 weeks.
You could hire someone to clean your house today, you don't need to wait for a robot that might never exist. And it will probably be cheaper too!