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The pistol squat depends quite a bit on how much balance you have as well... so if you have balance issues then the prime movers won't be stimulated as much as in a squat, even if you meet those criteria.

It's very important to really squeeze the glute and have permanent hip stability to really work the prime movers in the pistol squat.

Huge leg. Forget his bench press. What's his squat?

I'm with Kingfish if you want to jump well off two feet.

Off one you need to pay more attention to your flexibility/posture and maybe practice jumping more/depth jumps, otherwise all he said remains pretty much the same:

1) Get your squat up
2) Practice jumping
3) Maintain a decent bodyfat % (in the one-leg jump bodyfat is more important since it alters the center of gravity)
4) Correct any bad muscle recruitment patterns and flexibility issues you have (anterior tilt, posterior tilt, inflexible hamstrings, sleepy glutes etc)

This is pretty much it.

Yeah I think when doing bodyweight stuff is the moment when we give the least amount of respect to the exercise and just go through the motions, basically ignoring the TUT, the intensity of the exercise etc etc etc.

Instead of focusing on having very good tension and also time under tension, we tend to mock bodyweight exercises and go through them fast and finish the set very quickly. No wonder they "don't work".

Ah, damn. Sorry about that. I hope it works out for you. And yes, I know it's none of my business.

Everybody is a beast on steroids.

Nice job on those slow tempo exercises. Sometimes when I do slow tempo work I feel like cheating a few reps and going faster just to rest (lose tension for just a bit), not sure if it happens to you too.