Now he took a stand said she is my friend and I will call her if I want. Why would he hide it?
Because all cheaters lie, and he wants to make YOU look like the bad guy, Neecy.
I'd be willing to bet that he has found other ways to communicate, probably an "affair phone." That's what TMB's wife did, and it's VERY common.
What is the reason for exposure to OM's parents? "A" to be honest with them, and "B" for them to exert whatever influence that they may have over their son to get him to end his affair. And "C", so that if your marriage doesn't work out, they know the true reason, and know that YOU did everything you could to save it.
When my wife finally ended her affair, it was the exposure to her parents and our adult daughters that made more of a difference to her -- MUCH more -- than MY knowing and confrontation ever did. Never underestimate the power of a woman's parents or her children, and their approval (or DISapproval) of her.
Of course, that's your decision, and reasonable people may disagree. Actual mileage may vary, yadda yadda yadda.