How does Brave plan to handle relations with law enforcement and their requests? Will Brave offer a mechanism to uniquely identify the most offensive users?
Additionally, I believe OP was referring to requests for removal of search results that contain personal information. Both Google and Bing support these and will remove results in accordance with GDPR.
But I think your case is also worth adding to the conversation, although I don't believe removing results collides with privacy.
Let me put it this way: if it's an opensource search engine you'll have me for sure.
If it's not 100% opensource then I can't be sure you don't track me and we end up in the google cage again.