I don't think Anthropic needs such a committee because they don't make a habit of hill-climbing other people's problems.

Exactly! One effect of the committee might be to benefit Ant by its presence alone.. if only by striking fear in OpenAI.. Ant don't even need to thank them at once

Let's say they do not much on Ant's findings but edge on the NDA with OpenAI. That might even be PR victory for mathematicians