> Truly random binary generator left to its own device.
This has been tried. It tends to overfit to unseen test environment conditions. You will not produce what you intend to produce.
> the massive compute capability we will have
Just burn carbon in the hopes something magical will happen. This is the mentality of a cargo cult.
We also burn carbon to feed the brain. Compute is what is increasing in capability on the scale of orders of magnitudes just within our own lifetimes. Brainpower is not increasing in capability. If you want future capabilities and technological advancement to occur at the fastest pace possible, eventually we have to leave the slow ape brain behind in favor of sources of compute that can evaluate functions several orders of magnitude faster.