I believe them. some people will say anything to get out of jury duty. they don't seem to understand that perjury is a serious offense. the last time I was called, I heard one woman loudly announce "I'm gonna stand up for everything!" during voir dire.
Perjury requires that the person be under oath, which potential jurors (in my experience) are not.
Also, it’s pretty much impossible for a prosecutor to prove that you are lying about what your prejudices and beliefs are. Prosecutors know this and wouldn’t waste their time trying.
Also, there really are a lot of people that are just that unapologetically racist. I see a few people commenting that they don't think that actually happened. Ask just about any brown person if they believe that would actually happen today. I bet most would say that a comment like that isn't surprising at all.
I believe that the woman may have made those statements.
I don't believe that a judge would have let her remain part of the jury pool after having made those statements. That's the type of activity that results in a judge being forcibly retired.