The more interesting criticism of the paper are only paraphrased without quotes, I'm not sure I understand the arguments here without reading the original paper in full.
There is one part I think that is interesting from an entirely different point of view, and that is that "fitness" is probably not the best term for this concept in evolution. I don't think I've ever heard evolution explained without the caveat that "fitness" in evolution doesn't mean what we understand commonly as fitness. It's more about the survival of the best adapted one, and not the strongest one.
There are some terms in biology that are far from ideal, but they stick because we used them for a long time. Another example is the "central dogma of molecular biology", Crick later admitted that he misunderstood what dogma actually means when he coined that term. The term is simply wrong in this case, but it still remains.