Seems like a decent chance they posted this in response to your concerns!
4 karma · joined January 4, 2022
"When you see the “How is Claude doing this session?” prompt in Claude Code, responding to this survey, including selecting “Dismiss”, records only your rating. We do not collect or store any conversation transcripts, inputs, outputs, or other session data as part of the rating prompt itself. Unlike thumbs up/down feedback or /feedback reports, this session quality survey is a simple product satisfaction metric."