My own assessment is that the book, which reads like a thoroughly researched legal brief (more than 100 pages are devoted to notes, references and a very detailed index), makes the best possible case for the highly dubious proposition that the ideas of information theory influenced the substance, rather than merely the rhetoric, of research in molecular biology in the 1950s and 1960s.
Information theorist Solomon Golomb, who directly participated in the applications of information theory to early genetics, doesn't feel that it influenced the substance of molecular biology in the 1950s and 1960s though it may have influenced the rhetoric.