It is incredible bit of research, I agree, but it still has rough edges and should be treated as such, a work in progress. I do not think this book should be the bible of causality, and I think we're worse off for thinking it is.
Personally, I find the work of Richardson and Robins in Single World Intervention Graphs https://www.csss.washington.edu/Papers/wp128.pdf far more intuitive and compelling than Pearl's do-calculus. The notation is too slightly cleaner and it does away mostly with the unorthodox notation Pearl uses.