What? How is this possibly 'worthwhile'? All it does is add some irritating effects to logos on a webpage.
While I do not advise using it everywhere, it is just one use case that I do not have a problem with and that could be a useful part of a designer's toolset. Think of it as a 3D version of animated SVG. I only noted this because most other uses of WebGL are unnecessarily flashy and irritating.
Seriously though, "irritating" is a matter of opinion. Explaining why something is irritating is like explaining why something tastes good.