For 100% of jq use cases I have the data wouldn’t fit into context. But even for the smaller things, I have never, not even once, had an LLM not mangle data that is fed into it.
Take a feed of blog posts (and select the first 50 or so just to give the model a fighting chance). I’ll give you 80% likelihood of the output being invalid JSON. And if you manage to get valid JSON out of it, the actual dates, times and text content will have changed.