It is pointing out to a bias in reporting: one can never read "fact X". One can only read "fact X from source Y". Depending on one's alignment with source Y, one is more or less inclined to believe or care about fact X. The text points out examples of multiple Ys and how they choose how to report on X.
Much of what you call "woke" is realizing that human rationality has many biases, and in order to reify what we in the West agreed upon in text back in 1789, we will have to learn what these biases are and learn to actively compensate for them.
Much progress has been done, but much is still left to do.
Of course you care more about your family than anyone else's, and about Ukrainians and Russians more than Iraqis or Yemenis. It's a great starting point to think about that, and what unintended consequences everyone's individual biases can have for the future of our society. This is not an exercise that people go through often enough.