>You just need to know your LLM distribution and the encryption key, then with each new token you exponentially increase the chance of knowing whether it fits your encryption key. Without actually affecting the token choice in a perceivable manner.
I struggle to understand the relevance of that comment.
The blue/green token list biasing process literally does cause different tokens to be occasionally chosen. Not only that, but because a different token was chosen at one point, this changes the probabilities of all subsequent tokens, and the resulting later token stream every time it happens. If you had access to the token stream as it would have been, and the watermarked one by the end of the text they will be very noticeably different.