Enric, you present an impoverished idea of what Wikipedia editors can and should do. We do not report demonstrably false information as fact just because a reliable source says it, unless we balance it. We can and should balance secondary source error with primary source fact. The requirement is that the primary source facts reported should be directly verifiable without synthesis, by any ordinary person with ordinary skill applying reasonable effort. First of all, it's worth reading WP:OR over carefully. Then look at the essay linked from the WP:OR page, WP:NOTOR. See, specifically, this example:
A book, short story, film, or other work of fiction is a primary source for any article or topic regarding that work. Anything that can be observed by a reasonable person simply by reading the work itself, without interpretation, is not original research, but is reliance upon a primary source. This would include direct quotes or non interpretative summaries, publication dates, and any other patent information that can be observed from the work. For example, if there are multiple versions of a particular story, and one version does not have a particular character, or has extra characters, that is clear simply by reading or watching the work. The fact that one would have to read or watch the whole thing does not make the matter original research. The work is verifiable, even if it takes more time than flipping to a single page.
Notice that the example is quite on point here: After reporting what the DoE report says is claimed in the review document about the sixteen samples, 'blah blah.' we could say, "The Hagelstein paper, which was the review document, does not contain a report of 'blah blah.' However, it does contain 'bleep bleep.'" And there is probably more than we can say; there is some criticism of the 2004 report in reliable source, if I'm correct. This tidbit, however, requires no source other than the 2004 DoE material.
Notice also that we probably cannot report, for example, that "The 2004 DoE report contradicted itself," unless we have secondary source on that. What we properly do is to present the elements of the (alleged) contradiction, without claiming contradiction, reliably sourced, and let the reader form his or her own conclusion. The elements are directly verifiable. The conclusion isn't.