They've shown the "putting dishes in the dishwasher" bit before, it seems to be getting better, but I imagine it still has a high failure rate.
I wonder if this company started off or has some founder that's really interested in the "handling deformable stuff" space. They really seem keen to promote that it can do tasks like folding a shirt or working with soft packages.
Definitely seems like a carefully curated video, but the longer videos make me think that either they are running a scam or they have some of this stuff working well enough.
To answer your question -- folding clothes is easy, because clothes easily deform, do not break, fall smoothly when you drop them and most importantly are easily resettable task. Just through the well folded cloth up and voila start again.