That's significantly more defensible (it has to search somewhere by default, and most engines are known by their logos, and Google is the only search engine worth a crap) than imposing paid sites on you by default.
Search has been a basic part of using the web for years now. All browsers support the OpenSearch standard. Now, you may feel it would be better for a user to have to manually add Google to their search bar, but relegating search entirely to an extension is an odd suggestion.
