Personally I think it's because none of these places are about productivity. In fact I think it's the exact opposite. Take Google for instance. If you think about working on improving Google search what kinds of things do you think are important? Productivity? Or Creativity? My bet is on creativity which I think is where these kinds of workspaces excel.
You are in a room full of smart people who are all collaborating on the same set of problems. Innovative solutions are more likely to occur in that environment than closed off in a personal office. Personally, I like the trend of offering both kinds of workspaces. Private offices for when you just need some time to think. Public workspaces for collaboration and creativity. Conference rooms for meetings. Leave it up to the individual to determine when they need to work in each space.