Very valid points, great feedback and we completely agree, here's how we address this:

1. We recommend all our users to use the opt-in prompt before an error is logged. Demo: https://app.therootcause.io/sandbox/confirmation/

2. We can also show a special icon in bottom right corner when video is recorded. Demo: https://app.therootcause.io/sandbox/videorecording/

And, it's not just about production sites - another use case is using this internally as a tool between QA <-> Developers to speed up communication when new errors are found.