Definitely, disclosing (either private or publicly) a vulnerability that has been verified is significantly better than passing on the LLM output without verifying it.
It isn't my intention to argue one specific case. What I think is that normalizing public disclosure of LLM-inspired vulnerabilities would lead to a wide distribution of cases. We would have some successful cases like yours, and also some cases of the type that I have mentioned. Increase in disclosures will raise the noise floor, and the fact that it is done publicly adds the additional pressure that I mentioned.
I see your point, but I don't agree that the benefit of public awareness offsets the increase in noise. This disagreement isn't rooted in aspects that we can objectively quantify though - we just have a difference of opinion here.