Oh god, this guy has gone mad - he's so narcissistic and incompetent, the guy keeps deluding himself that some part of him is above Kaji. This is some serious cognitive dissonance here.
Karl strikes again, and I'm guessing he did what we all are thinking and stuffed his necktie inside the tube. Goddamn, I don't think Karl was trying to screw over the next person who went in, but more like he would bet on Kaji's own life that Kaji would save himself, which would leave Ikuto to die inside the bull.