President Park promised the people on national television that she would submit to question by prosecutors.
Her lawyer, Yoo Yong-ha, just announced that President Park refuses to undergo questioning by prosecutors. He said that he was preparing for questioning by a special independent prosecuting team that will be formed in the coming weeks.
So, President Park technically did not lie, since it was her lawyer that did the talking. She can say that it was the lawyer's decision to refuse questioning. That's her way of thinking. The ruling party leader, Lee Jong-hyon, also seems to have chronic cognitive dissonance,
CNN: President Park to be investigated as three others indicted
The President's Office just responsed to the indictment charges. They said that the investigation was biased, nothing was proven yet, and that President Park will carry on with her duties. They also said the indictment made it sound like President Park committed a serious crime. They said that the President is innocent and they will prove it.
I strongly suspect that the President's Office is relaying President Park's direct responses.