As far as I'm aware, the heights where this can happen is variant... I've had it happen above 30 blocks of height, but no longer work at 1000 blocks of height. It also happens at negative height too, around -50 blocks of height for example. However, everything between -50 and 30 would act normally, just as an example - I'm going off memory here, might not be exact. :p
I've reported this before at Bouncing on Non-Bouncy Materials. However, Santeripe's 4th step is a little different than mine. It seems that the second bounce will happen regardless if you hold space or not during the jump. Regardless, it's still pretty interesting how Kogama's collision/physics system works like this.