@cybrsaylr You should have the right to choose to have or not have Google on your PC, and yes, it does matter.
If you cannot have your own choice of search engine to start up each tab, what is the point of having it there? It's better just to get rid of Google completely and have nothing. After all, you can easily search DuckDuckGo by making it your default search engine, and typing "your search" directly into your browser address bar, instead of the search bar below.
To get rid of the search box completely and free up more space for links to pages, instead, go to: Opera Settings > Advanced > Browser. At the very top of the page there is the option to "Hide Search Box".