Believe it or not I really think the defense lawyers are tickled to death about the gag order. Their efforts to lift it are Luke warm. It's a solid appeal ground and it keeps Donald from shooting himself in the foot on a daily basis.
Now I totally disagree with how it's only applicable to the defendant and not all parties. But the defense is not totally appalled with it because it makes their job easier
People sleep peaceably in their beds at night only because hard men stand ready to do violence on their behalf.