Impress me a little. First, where is that citation?

Secondly, if you make claim, it is not our responsibility to prove you are wrong, but YOUR responsibility to prove you are right.

But I'll make an exception for you, it is your lucky day

So, how exactly do you use randomness in your Kangaroo understanding of how the algorithm works?

And how exactly you break the birthday paradox, and ruin the stuff entirely, let us understand what do you mean by "making the algorithm more deterministic" by "removing the randomness"? What randomness to remove in the first place? Where is that located, and how do you mess around with it, to be able to claim that you create determinism out of uncontrollable chaos?