On one hand, I like the idea. I think students and people can be too connected and especially in elementary schools, students need to learn how to socially interact with others. I also feel there are many hands on teaching techniques and methods, etc. that are sometimes the better option over a technical tool. Kids love to play outside, and touch slimy things, and explore new toys.
On the other hand, technology is our world and at some point they will need technology for their future. Many parents and some of the Waldorf principles mention that technology is easy to pick up and that they are not worried about their students being tech savvy.
It seems as though students attending these private (expensive) schools are students who's parents are very tech-connected working for places like Google, and Apple, and in being a child of one of these members, would have access to technology when mom/dad are ready for them to. However, students in lower SES and without access to technology at home and whenever they want, I wonder if a no-tech school would be for them.
A Silicon Valley School That Doesn't Compute
Technology, Schools, and a Big Black Bug