i don't think so, look at this http://search.live.com/results.aspx?....y=0&go=Search, the first is search.com, second is yahoo search, the third is google.
in google (http://www.google.com/search?q=search), search.live.com is the first.
In yahoo search (with the same search term), google is number 2. The first is still yahoo. http://search.yahoo.com/search?p=search.