Which claims do you think are poorly supported? I'm the author; I tried to include everything other people need to repeat the same experiments. I've even had two people write in directly to me, stating that they have been able to replicate my findings.

Or are you referring to the claims from Meta, Google, and Adobe -- which failed to hold up under independent evaluation.

You are also correct that one of the meta authors wrote in a comment. However, he demonstrated a clear lack of understanding regarding what makes the bits "independent" or how to resolve the independence problem.