One thought --- could you export the file as a structured XML description?
BlockSCAD does this, and I've been thinking about parsing the XML and then using that 3D structure in my own project.
Theoretically, yes, but in practice a structured XML description of a parametric model is not useful in the general case without standardized format.
STEP XML would be probably the closest here.
To be realistic, I might wrap a CLI to AdaShape first, then the user could query the model and have their LLM backport the model tree to something like CadQuery :D
If it helps I've been doing a lot of projects with TSX (via OCX) as a file format.
It works nicely for these things because it already supports typed parameters and can be treated as a a raw AST without JS engine.
Its also easy to manipulate with the same library.