I don’t see the bias. Given the context and the simple rules of logic and rationality what the author states as “Either way, she’s lying” is an objective and inevitable conclusion.
Kesha made two statements in two sessions of the court that contradict each other. Both cannot be true at the same time. Either she was sexually assaulted (in which case she was a liar the first time) or she was not (in which case she is a liar now).
So yes, either way, she is a liar. It’s an objective and inevitable conclusion. No need for bias.