SEO and not brand quality or popularity the question

This is not something that you did not know. But then just confirmed
it. Search Engine ranking is just a way of getting the right optimization and links.

It is well known to me and you that Google is the undoubted winner when it comes to
search. But just make a search for Search and you find Google ranked third.
AltaVista tops the list. A search for the keyword Search Engine doesn't even show
Google in the top ten list.

So, work for SEO to get your site to the top.