Oh, you mentioned quantum events, and I forgot to answer that.
If quantum events were truly random, they would not exhibit such statistically exact behaviour overall. Statistics are properties of organised systems - but nothing in nature is thought to organise quantum events, suggesting organisation beyond nature, not lack of organisation.
But more to the point, it’s once more only people on the fringe of consensus science who seriously propose that micro-quantum events ever affect macro-events in the world. The standard story is that we can treat the macro world as Newtonian.
Do you know any physicists who have proposed how quantum uncertainty affects molecular mutations regularly, thus directing the whole course of evolution by dice-throws? And unless people here are prepared to accept chapter and verse on that, it remains unclear to me where the ontological randomness in nature is hiding. Are we saying that God made the laws of nature flexible? Science is scarcely a precise pursuit if that were the case.