> Just look at the attacks on Politifact, Factcheck.org, etc.
TBH, those are not exactly shining examples of "objective truth". I've repeatedly seen different ratings given to different politicians on essentially the same statement, because in one case the reviewer felt sympathetic to the politician and went out of the way to explain why it could be considered accurate, and in the other case was hostile, and went out of the way to point out why it is not true. Neither was, strictly speaking, incorrect - almost with any statement that is interesting enough to discuss you could find, if you look thoroughly enough, something to confirm and something to reject, especially if you consider not only the bare statement, but the context and implications, as those sites frequently do. It's inherently subjective business.
> the attack is targeting organizations that do their own independent verification of stories (or at least try to)
Or sometimes not :) Yes, the MSM does reporting and verification, but also does irresponsible reporting, exaggeration, conjecture, moral panic, sensationalizing and distortion. And people that are angry at them for that are trying to keep them (a little bit more) honest.