I would argue that the point of the book is not to say that there is no such thing as natural talent. Some people naturally have certain skills better than others. I remember a story of Natalie Coughlin from her biography where, in her first season at Cal, her coach brought in one of the best stroke technique coaches around, and he gave her 3 things to change. She thought for a moment, jumped in, and had fixed all three things. Her coaches all looked at her and said, that was scary! She obviously has an amazing talent at taking verbal cues and translating them into her body.
I think the point of the book was to say that some training centers achieve success with a much higher percentage of their students than can be explained by any factor other than deep practice.