That is just an ignorant comment (ignorant in the sense of lacking knowledge of the subject). The Ioannidis article was talking about individual studies in medicine, not wildlife biology, that are not replicated. The NY Times article was talking about a large body of research which is largely in agreement on its findings. There is just no comparison between the types of situations that Ioannidis is talking about and the review that the Times article mentioned. In fact, the Ioannidis article explicitly states that meta-analyses, like the one referred to in the Times article, are reliable.
Anyway, if you think that the NY Times and me are wrong, then you should be able to dig up a large number of studies backing up your conclusion. I would like to see those sources.