I don't understand this phrase. I certainly wouldn't describe what I experience when I take the time to consider things at face value as causing anything I'd describe as whiplash. Just because I attempt to evaluate what I read from another's perspective doesn't mean I give up my own in the meantime.
And I'm not advocating for that, especially given the amount of garbage on the Internet. But the pendulum has swung too far in one direction and many people are scared to voice their opinions for fear of being rejected or worse, outcast from their livelihood and their way of life.
What the writer is saying is that she no longer feels that The Times is unbiased. I don't see how that's a hard thing to take at face value.
I don't see anything "discrediting" the that comment. I think it is very salient to point out that it us much easier to call out intolerance in other people than to face our own intolerance. Weiss's own intolerance doesn't negate the intolerance she faced, instead it reminds us to remember to strive for tolerance within ourselves as well as pushing for it from other people.
Why should I be this credulous?