Completely agree. They don't flub around trying to figure out and contextualize issues. They're able to both categorize the issue and the disagreement and present in ways that everybody can consume.*
We're not all so lucky, though. Many times I've had to tell teams "This is going to sound right. Please forgive me because I'm concerned about X". You can't replace that kind of give-and-take with wordsmithing.
The second skill I've noticed is to be a storytelling master. Great leaders tell engaging stories that emotionally draw you into their way of seeing things.
*A problem occurs when the leader thinks they know what's going on but they are mistaken. In this case better leadership skills can actually lead to poorer overall results. I've seen good people with mission-critical ideas get "facilitated" out of them by well-meaning, nice, and intelligent people who don't know what the hell they're talking about and are unable to accept that fact. Obligatory link: https://www.youtube.com/watch?v=BKorP55Aqvg