As has already been implied, I think the answer is that both books are right but neither is perfect. As for which is better? I don't know either book but I suspect the answer is neither.
Your role as a student is not to passively consume what is thrown at you but to look at it, consider it, process it, try stuff out and, when it feels right, discard some of it, even if it is only temporarily. I mentioned it elsewhere but you need to develop a critical sense that allows you to establish what is useful to you in serving your musical ambitions and what is a dead end. Quick wins are few and the most useful learning is incremental. Most people I know have several books that often include similar information presented in different ways - your own learning style will determine which ones work for you but, for me, the strategy is to look at as much of this stuff as you can and absorb what you can when you can. There is no yellow brick road to musical knowledge, just a big haystack you need to sort through.