Good recommendation. DDG doesn't crawl the web and is essentially beholden to Bing results. Brave seem to crawl but not with a user agent that respects robots.txt. They also scrape Google to enrich their results, so queries that user's do within the realm of their web discovery project are sent along to Google, which may include PII.

Mojeek is a traditional crawler that crawls the web and honours robots.txt. Beyond Google and Bing, it's probably the next largest (and useful) index in the Western World.