Well yeah, you don't. He's more of a unilateral jumper (like, much more) and the special thing about him are probably his tendons/tendon stiffness, but he also has great strength. It depends on how you define "strength" though. I mean, he was doing stepups with 200 kg at 70 kg bodyweight.
He's very technically sound and has extremely good take-in put-out elastic ability.
Yeah I know he's very strog (especially at step-ups) So he would most likely be good at the standing jumps, but he isn't. So imo it's not very much relation between the standing jumps and the ones with a run-up. Although, it's probably just a benefit being good at both! 
(His tendon stiffness is a result of the training he's been doing though the years, and not something he was born with)
Well know you're quoting that german documentary that compared Holm with Donald Thomas. You can choose to believe them or you can choose not to believe them. Just because they say it's not a natural born ability doesn't really mean it's written in stone and that they are absolutely true.
But yeah, jumps and plyos will stiffen your tendons. You still want some tendons to be stiff and some to be compliant. It's just important which are which.
Anyway, good step-up strength is specific to the one leg jump not the standing jump (when it comes to angles, muscle involvement etc) so they hardly correlate to the standing jump. Also, he's probably so used to the prestretch and preactivation using a high speed amortization phase that he isn't fond at all of using a slower/more muscle bound jump like a standing VJ. At the same time, there's more quad involved in a standing VJ than posterior chain, and that's probably a reason as well (he probably has a better developed posteroir chain than quads).