The language doesn't appear to be designed around supporting existing tools (either by exporting to Why3 or manually interfacing with existing tools). I'm not against shipping the whole proof or storing it on a cache server, I'm against the idea of having a LLM write it all. Even having the LLM only write proofs for subprograms that take a long time for ATPs to prove would work.
For the example in the article, the LLM had to write it exactly once without any iteration and it proved in a second, which I assume was mostly startup time. Having a LLM write 442 lines instead, which I assume also needed some iteration, is a tough sell in comparison.