I set my default search engine to DuckDuckGo. Still, when I open a new tab and click on the address bar (without typing anything), "Search with google" is the first suggestion, followed by recent history.

I don't want Google there, it is not my default search engine, and I even removed it from my "Search shortcuts". I would expect either "Search with DuckDuckGo", since I explicitly set that as my search engine, or better yet, no search engine at all (since the address bar itself already functions as my access to search).