Haha... you do that. Why aren't you actively doing something to correct it? For one, you could use a bit of a slower approach and try to be stiff at the knee but without overdoing it. When you overdo it and really really contract the quad to keep the knee from buckling then you usually overload the quad because it's already contracted hard and when it receives the shock it goes into overload mode and just fails...
Then it's the body position and the glutes absorbing some of the shock (when you put your foot dorsiflexed and at the correct angle on the floor, some of the shock gets distributed in the hip vs overloading the knee joint - something that didn't happen to me in that 1st video).
And then it's doing more hip dominated exercises just to make your body aware that it can use the hips to absorb the shock/become the prime movers (god forbid the use of "protagonists") in the jump.
But obviously if you're traditionally not a one-leg jumper... it's going to take some time