Neo-Luddites

Whether or not a search engine uses AI doesn't necessarily say anything about its privacy. DDG already processes your queries and passing the query through an AI doesn't affect your privacy as long as the AI model is not affected in any way and the query isn't kept for future AI purposes. But you're right there's generally a negative correlation between AI and privacy and also a positive correlation between people who care about privacy and people who don't like AI, so there's probably a correlation between DDG users and anti-AI people. However I think you meant to say "selection bias".