Cael might have dropped the topic during the confrontation in the dining hall, since Felix had been bent on covering for Lyla, but that didn't mean he let it go. On the contrary, it only made him even more determined to dig for the truth, as Felix's attitude was… unexpected. Confusing.
Why would he want to hide the truth, when he was obviously a victim? It couldn't be that he was so dense that he didn't realize what Lyla's intentions had been, or else he would have said the truth - not to incriminate her, but simply because he didn't understand. Instead, he twisted the situation to make it seem like Lyla was simply unaware of his status.