Yep, we're (https://www.definite.app/) using pgvector and I was initially concerned about scaling, but it doesn't seem it will be a problem for our use case. I definitely wouldn't use it if I was building a feature for Slack, but works for us!
Yes, working on that landing page right now (currently it's pretty week)!
We're building an AI data analyst. You can ask questions of your database and get answers immediately. We also auto generate entire dashboards based on common patterns (e.g. a "Sales Dashboard", "Marketing Dashboard", "Finance / Burn" etc.).
If you want to give it a try (there's a demo database embedded in the app), you can use it here: https://ui.definite.app/