And these places are busy - my guess is there will be an automated haircut place in <10 years, and they will pick up 90% of the business within 5 years.
People will always go to custom hair cut places, but I bet there are a lot of people who will be keen to pay a small amount of money to get a reasonable hair cut.
Beauty is not an industry that a bit of tech pixie dust will magically transform. Haircuts aren't just a utility, they're a personal statement and a piece of one's identity. And as a previous poster indicated, it's also social and cultural. Plus the variety of people's hair and variety of desired cuts make it an incredibly complex and fine motor skill, one that robots will suck at for a very long time. And people rarely know exactly what they want when they go into a hair salon, so there's a service component there too. Beauty just isn't ripe for disruption because people and culture are so involved.
I think this is similar to the soylent discussions. Food-as-utility people think its great, but food has cultural value far beyond calorie intake. So its found its niche among products that already existed (sans tech pixie dust) - the nutritional shake market.
90% is an order of magnitude off in my opinion. But I agree that a place that offers reasonable hair cut for cheap is what many people would want, so I do look forward to your future where that is offered!
[0] http://www.flowbee.com/ http://www.haircut.com/ http://www.aircut.com/
Definitely agree that there will be some people who absolutely will want to go to a hair salon - and, honestly, my 90% was just a thumb-in-the-wind estimate. You're probably right that it's high, but, never underestimate the desire for people to get a good deal.
I think your Soylent comparison is excellent - and is exactly the one I would make. People who see food in a utilitarian perspective see the value offered from soylent. Likewise, people who consider haircuts as the process required to rid themselves of the excess hair, will get a lot of value out of an automated hair cut establishment.
Three - add anything which is primarily social.
I think hairdressing will be one of the most resilient jobs. Not only is there a huge market for it, but it requires a certain basic level of dexterity, and it's primarily social. The talking is at least as important as the hair cutting, and it's going to be a while before robots can replace it.