It'd almost certainly need at least two hands, and I'm sure there are a lot of people who would pay to automate the remaining 5% of the dishes.

And the two-handed spot will have a hard time grabbing something under the sofa.

For dishes and clothes? Zero hands required, you can use a vacuum to pick them up and maneuver them (inverting the air flow to drop them).

A buddy demo-ed something from work doing exactly that like a decade ago, but it was commercial and designed for an assembly line.