For me, the most damning thing about the book is the invective against the passive. The book opens with use of the passive voice, its authors apparently unaware how idiomatic its use is in certain circumstances. It introduces the passive voice with a sentence that is in the passive voice but is so independently clunky that an astute reader would wonder "no, wait, why would anyone attempt the passive?" It then goes through a rewriting-several-examples section where only one of the four examples manages to start in the passive.
Why should one use a book on English grammar that can't correctly identify English grammar in the first place?
(For reference, the first sentence is "This book is intended for use in English courses in which the practice of composition is combined with the study of literature.")
Out of curiosity I googled "we intend this book" and people do seem to use that wording sometimes in introducing their books. Why don't Strunk and White do that?
Not certain as to why, but one plausible explanation is an opinion that using first person pronouns would be inappropriate, as it is "too conversational" or something like that.
That seems plausible, and pretty much demands the passive voice. Otherwise they would have had to do something like "The authors intend this book..." which is rather strange when the authors are also the ones who wrote the sentence.
Why should one use a book on English grammar that can't correctly identify English grammar in the first place?