In the Hanafi usul terminology used by the book, the distinction between fard and wajib also concerns evidentiary strength: fard is established by conclusive proof, while wajib is based on evidence involving a qualifying degree of uncertainty. Calling both merely “important duties” obscures the technical distinction.
Before classifying an act as fard, a student must examine its evidence. Conversely, wajib is not an unimportant recommendation; the book treats its performance as obligatory within its technical category.