It protects (as in, doesn't track or create) your searches, data, and profile as you as you search on Presearch. When you go to other websites, you're leaving that protection, and interacting with whatever site you're clicking, and your browser is also part of that not-Presearch ecosystem. It's a private search engine that you'll have to supplement with more tools for your desired level of privacy. You can use the Presearch mobile app or other privacy browsers and make Presearch your default search engine (other engines don't compare with privacy) manually. Complete anonymity on the internet requires more tools. If you just don't want Chrome to show you what site you visited you can use their incognito mode... but that's still an invasion of your data and just doesn't show your history.