Solving the Shortest Vector Problem in $2^{0.6039n}$ Time via Mid-Point Hessian

I was very happy to see an "AI use disclosure" right on the title page under the abstract.

It's not clear if this is solely a possible theoretical result or if it has any practical value. I.e. is it only useful on lattices that are so large as to not be of use, or could it be used for cryptanalysis? If one is using AI to generate a theory paper such as this, why not use the AI to also generate code that uses it, put it on GitHub, and show the results, say against fplll and the tool in the paper below?

https://ir.cwi.nl/pub/35237/35237.pdf

could this be a problem for the security of Falcon (aka FN-DSA) post quantum signature scheme?

Wow, just yesterday I was thinking this exact problem would be a good candidate for AI. Seems it is!