That's exactly how maths works, specifically in the cases where where the claim is easily backed by a demonstration. A famous example:

https://en.wikipedia.org/wiki/Frank_Nelson_Cole

If you 'destroyed RSA' through better factorization, all you have to do is start publishing factors of RSA challenge numbers.

Matthew Green has a fun thread about other ways to approach this along with an interesting "real talk about factoring" sidebar by Nadia Heninger:

https://twitter.com/matthew_d_green/status/13669500931784990...