User blog comment:Gekkou30/Big Boss Full Power CQC vs The Boss/@comment-121.216.102.100-20120223063709

Naked Snake knew CQC. The Boss knew CQC. Naked Snake WAS reluctant to use it against her. There's a chance, though, that The Boss practiced CQC more than Snake, as at the start of the Virtuous Mission she tells him to try and remember the basics. By the end of Operation Snake Eater, Snake was ready to fight The Boss so I think he might not have held back as much. Or he had used CQC enough during the mission for it to be fresh in his mind to put him on equal ground with The Boss.

Solid Snake learnt CQC later on, and wasn't taught by The Boss or Big Boss. There was no way he could become better than the inventors of CQC, not without direct teaching from them. Just look at the ending to MGS4. Big Boss so easily swats away Snake's attack in the graveyard.