Does "was otherwise at risk of conveying" mean "otherwise, was at risk of delivering its information

Does "was otherwise at risk of conveying" mean "otherwise, was at risk of delivering its information"?

Context:

The fact that memes can sometimes display very high fidelity,
due to self-normalizing processes of this kind, is enough to answer
some of the commonest objections that are raised to the meme/gene
analogy. In any case, the main purpose of meme theory, at this early
stage of its development, is not to supply a comprehensive theory
of culture, on a par with Watson-Crick genetics. My original
purpose in advocating memes, indeed, was to counter the im-
pression that the gene was the only Darwinian game in town - an
impression that The Selfish Gene was otherwise at risk of conveying. Peter Richerson and Robert Boyd emphasize the point in the
title of their valuable and thoughtful book Not by Genes Alone,
although they give reasons for not adopting the word 'meme' itself,
preferring 'cultural variants'. Stephen Shennan's Genes, Memes and
Human History was partly inspired by an earlier excellent book by
Boyd and Richerson, Culture and the Evolutionary Process. Other
book-length treatments of memes include Robert Aunger's The
Electric Meme, Kate Distin's The Selfish Meme, and Virus of
the Mind: The New Science of the Meme by Richard Brodie.