Only if people are willing to put up with having more servants in their lives in the interim. But if not, people will just keep doing their own laundry and the business will fold, or perhaps just reach a level where for some people it offers a slight improvement on existing laundry services. Whereas a laundry robot would be really quite the revolution, it would end up being a new mandatory home appliance after dishwasher, stove, fridge, washer, and dryer if it worked out. But then again, it's probably super hard to build such a thing.
I think you probably missed the wry ironic subtext in my comment. How fucking entitled are we as people that it isn't enough to have machines take care of the hard part of laundry, they have to do the easy part, too?