in the interests of saying something useful instead of idle musing:
We're all fretting about sourcing entropy for our master secrets (seed phrases if you prefer), but what about for the nonces we use...
The lower 1 bit bias was and is a sharp sword hanging over all nonce signatures. Signature harvest is toxic waste, an incident in the advent of such kind of AI and decent cheap GPU time to keys to happen seemingly out of the nowhere. Even when doing best practices. Never sign twice with the same key! Never.