Exactly, he is caught. He used the hacks.
But there is a change me might not be.
Unless we get a screenshot/video from his screen explicitly using them, there's still a chance he might not be. Maybe everything in the video was all just strange coincidence.
He's defended himself, and like a smart person, he isn't dragging on the argument to where it isn't relevant anymore. Likewise, if you believe he was cheating, you can ban him from your server and move on.
Either way, what he said didn't prove he had used a hack .dll/script.