This statement is completely valid. I know so many people who gravitate towards literature for the main purpose of finding a set of circumstances or a specific character that is going through similar things as they are. The main reason is because we often tend to look for outside resources as a way of justifying our behavior, our lifestyles, or really just as a way of saying, "Look, this person is kind of messed up too, and that's okay." I know that this is not always a great thing, especially when it comes to the point of being more inclusive, but from the perspective of someone who is familiar with why people do this, I think that it is normally for the individual's own self-gain in regards to personality and circumstances that a character goes through, rather than the idea that the character's background is the main factor in determining who reads what. And, I also believe that this idea of gravitating towards writers in which they see themselves can be true for individuals of all races, not just white critics specifically.