had a good talk with duckduckgo's AI chat (llama3.1 in this case), and if it didn't lie to me, it seems they are really keen on keeping user conversations/PII totally anonymous.

https://duckduckgo.com/?q=DuckDuckGo&ia=chat

example: https://nostrcheck.me/media/a87c9bfc4570fe15afdda6c0095ade2d74fb14e3294bff37a965522983bda6a8/1db9b6e3ce5aa92ca5491495e1ce7af582571215bcb51c36af8a8e242691a072.webp