Maybe I'm unique in this (I don't think I am), but if anything the curse of modern life is that we're absolutely awash in free time.
What would I do with an extra 30 minutes? Probably check Hacker News or Facebook more than I already do.
The actual washing of the dishes really doesn't take that long. Most of it is gathering everything up, rescuing the sink from the disaster that my wife leaves it in (i.e. How hard is it to actually nest the dishes instead of building them into some precarious tower?), and then washing the various big and otherwise awkward items that you couldn't put in the dishwasher anyway.
If you want to get on the modern hype train, you can think of it as a "mindfulness" exercise. There is something therapeutic about having busy hands and letting the mind wander.