Your concern makes sense, but in the demo we show, all your private data AND the graph database AND the LLM (basically, everything) is confined to your client session in the browser, and no data actually ever leaves your machine. That's the whole point of Wasm!
The graph that you build is more for your own exploration and not for sharing with the outside world.
Still, using non-personal example would mean the user wouldn't have to consider whether to trust you on that point (or do the analysis), and would make the technology demo friction-free.
imo, privacy shouldn't be the driver but the kicker, because it's so inflammatory.