All your search queries are sent to the entire list of relays, and there's no guarantee they aren't sent to relays outside this list. Basically, anyone can track your search. 

 Seems like an opportunity for proxies, one time pads or multiple addresses like for BTC transactions, or something. 

 There are a lot of ideas on how to make search private, but no one needs it yet. We basically have almost no search right now 😂 So we don't need to complicate it in any way. 

 Search on damus is private and does not contact relays. 

 nice