Absolutely, I think you should bring up the lie in the next MC appt. I think you should bring your proof, and insist that he tell the truth while MCing, otherwise you have no interest in the charade.
If he won't tell the truth, give your evidence to the MC, and walk out. Maybe she can deal with him.
I believe that getting the wayward spouse to TELL THE TRUTH is the FIRST STEP toward marital recovery. Until they're ready to end the deceit, there's really nothing to discuss.