>I think we’re trying to shoehorn the concept that true chaos exists and “percolates” to disrupt a clean deterministic system.

It's not shoehorning at all though, is it? Humans exist. Humans can leverage quantum probability. That is all that is needed because we act as a conduit for the micro, medium, and macro scales to interact in ways they may not absent the involvement of intelligence. Left alone, our Sun will become a white dwarf in about 5 billion years. If humans stick around long enough, it's likely we'll find a way to prevent that. If we decided whether to let the Sun burn itself out or to refuel it based on the roll of a quantum RNG, that would be a piece of quantum randomness affecting the lifecycle of stars. Scale it up. Even if you consider it to be shoehorning, it doesn't matter. It's still disruption to the supposedly clean deterministic system.

>Let’s look at the ratio of pi. Its values consist of unpredictable seemingly random strings of digits. Randomness therefore exists?

Pi isn't random. It's irrational. Its numbers don't change, it's properties aren't in flux- they just require discovery. Fun aside: we only need 40 digits of pi to calculate the circumference of the universe to within an error margin smaller than a hydrogen atom, but last summer we knew over 62.8 trillion digits of pi.

>What if the observed radioactive decay when aggregated forms a more cohesive pattern akin to the bell curves and distribution of other phenomena?

Then my beliefs will adjust based on the evidence because these are beliefs founded upon the evidence, not beliefs that cherry pick evidence in support of beliefs I intend to hold regardless.