True Classified information MUST be marked according to the level of classification, or it is NOT CLASSIFIED.
If Tweety does not want his phone calls leaked he can use an appropriate secure telephone. If Tweety uses his own phone, he willingly accepts the risk of being taped and the call leaked.
People who support Tweety are distrustful of government, I think. That's my assumption. So these Tweety supporters should appreciate knowing how Tweety operates. The phone conversation leaks can be arguably criminal or not criminal.
It's worth knowing what goes on in your President't dealings, and most of Tweety's base know it.
Sessions -