> I don't get it why focusing on clothes folding though, does anyone do laundry more often than once a week?

Folding laundry is not the end goal here. They chose it because it’s a very challenging thing for a robot to do, requiring great manual dexterity, planning, reacting to sensory inputs etc. In other words: if your robot can do your laundry it can probably be taught to do pretty much anything else around the house.