Zane did not know that Ian had already questioned the girl he had locked up about his father. He intentionally did not bring it up because he knew that his friend was embarrassed by the man. It had even gotten to the point where he no longer allowed anyone to address him as young Mr. Walsh; he was simply CEO Zane.
Ian could tell by the look on his friend's face, that he was deeply concerned about the matter, and would probably not take no for an answer. So, he decided to let Zane act as he wished. Then he would let him review the results of the polygraph test. Sometimes, a person had to be allowed to vent before they could accept an outcome, and that is how Ian felt about he present situation regarding Zane's father.