Do you consider a man who writes children's books to be a "major proponent of the TNS"? You might as well cite a blog where someone is trying to explain TNS without fulling understanding the theory.
Most of the evolutionary biologists who publish explanations of the theory of natural selection consciously avoid relying on any dating methods; they do not need it. The most any will do is put forth their argument and then say, oh, and if you think these dating-methods satisfactory, isn't it an interesting coincidence that these methods allot us the time needed.
Were one to come out and prove that the earth was formed 6,000 years ago, even Dawkins would abandon the theory of natural selection (he would not abandon his position that this designer is a poor designer, though); were one to discover a fossil of an organism where it did not belong, according to the TNS, even Dawkins would abandon the theory.
However, the critiques that have been leveled at the theory of natural selection have either been easily handled by the theory or they have been critiques that are really directed at straw-men and they are red herrings meant to discredit the theory of natural selection in the eyes of the masses.