Anthropics reputation as a near-term world-ender boosts their IPO directly.
I feel you are just talking a hypothetical without having any basis. You think it'll have an impact on IPO directly and that it will be a positive one. But you have no proof or historical precidence for the same. Meanwhile we have historical proof that markets reacts negatively when a company is blocked by the government on selling their top products freely. And that is most likely going to happen here as well.
Public perception might be changed by these "ohhh its so scary guys" marketing but these don't translate to actual market perception when it comes to actual facts and numbers on the financials.