That was my first reaction too.
But read that second quote transcripting a conversation between Brunsetter and "Me". Brunsetter could easily have just outright denied mentioning Caucasians and proclaimed the freelance journalist a liar... which is what she would have done if she(Brunsetter) was either telling the truth or a competent liar. Unfortunately for Brunsetter she is clearly an incompotent liar... you need only read the transcript to see that she is both lying and incompotent at lying.
I read the second quote, and it doesn't read like she's lying so much as she is confused and doesn't understand the question (which is how someone who had never said that would probably react; a liar would become defensive and angry with the questioner).