This note highlights a serious error in a paper published by SIAM Review (SIREV) in 2011. The error is in Section 6.2 of [1]. It is important to notify this error because of the following two reasons: (i) [1] is one of the most cited contributions in the field of identifiability of viral dynamics models, and (ii) the error is relevant because, as a result of it, a popular viral model (perhaps the most popular in the field of HIV dynamics) has been classified as identifiable. In contrast, three of its parameters are not identifiable, even locally. This note first proves the non uniqueness of the three unidentifiable parameters by exhibiting infinitely many distinct but indistinguishable values of them. The non uniqueness is even local. Then, this note details the error made by the authors of [1] which produced the claimed (but false) local identifiability of all the model parameters. This note was first submitted and rejected by the SIAM Review Journal (SIREV), and then published on arXiv [5]. In this document, with respect to the version published on arXiv, we also include the feedback obtained from the editor of the Survey and Review section of SIREV and from the two reviewers selected by the editor. This feedback clearly highlights the technical inadequacy of the editor and reviewers and more generally shows how the editor has dramatically failed to correctly manage the review of a simple erratum. This is a serious and damaging problem for our scientific community.