I have this theory that the US government is already requiring AI providers to pipe all chats to them. It explains why Kagi isn't particularly interested in Privacy Pass for AI. It also explains why some AI services (you.com) won't let you change your email.
Venice.ai can be used with crypto, but I heard the UK is working to ban that.
Realistically, if I were a government, obtaining everyone's AI search history would be my goal #1.
And Kagi would never be able to tell us. They have previously mentioned that privacy is not the #1 focus. They probably know the government won't allow that.