Carbon fiber and carbon nanotubes are two different things. Nanotubes are extremely thin and short (and, as the article says, similar to asbestos fibers.) Carbon fiber filament is much thicker. Nanotubes are great in principle, but the problem is that no one knows how to make them long enough to be of much use in composites. Bulk industrial nanotubes actually look like fine dust because they are microscopically short.

I seriously doubt that anyone uses nanotubes in bicycle constructions (unless it's in really minute quantities). Nanotubes are quite expensive, on the order of $1000/lb for multiwall nanotubes and many, many times more than that for single-wall nanotubes.