What always surprise me is the easiness with which we kill things around and present them as useless. Like we discard old clothes, we try to discard the technology. We've already tried to kill radio, TV and print. All three are still living and doing quite good, but the way they are used has changed.
As history shows, technologies evolve and being shaped by people and their needs they can coexist and merge.
There is some pinch of sensationalism in the way of declaring web dead. Alexis Madrigal from Atlantic responded to Anderson's article: "What's Wrong with X is Dead".
"From the vantage point of the present, it may seem that technologies are deterministic. But this view is incorrect, no matter how plausible it may seem. Cultures select and shape technologies, not the other way around, and some societies have rejected or ignored even the gun or the wheel. For millennia, technology has been an essential part of the framework for imagining and moving into the future, but the specific technologies chosen have varied. As the variety of human cultures attests, there have always been multiple possibilities, and there seems no reason to accept a single vision of the future." (David Nye, Technology Matters)
Killing the web seems like the attempt to simplify and feel more in control over the complex and unpredictable world of people behavior and interactions - choosing a single vision for the future. It is tempting to have a single vision, because it is more manageable and controllable but world keeps on evolving into plenty of parallel and intersecting paths.
There is no need to write an epitaph when nobody died.