That's an invalid application of this theorem. (It doesn't necessarily hold)
Suppose there's an unambiguous ranked preference by all people among a set (webpages, ranking). Suppose one search engine ranks correctly the top 5 results and incorrectly the next 5 results, while another ranks incorrectly the top 5 and correctly the next 5.
What can happen is that some there may be no universally preferred search engine (likely). In practice, as another commenter noted, you can also have most users prefer more a certain combination of results (that's not difficult to imagine, for example by combining top independent results from different engines for example).
Suppose there's an unambiguous ranked preference by all people among a set (webpages, ranking). Suppose one search engine ranks correctly the top 5 results and incorrectly the next 5 results, while another ranks incorrectly the top 5 and correctly the next 5.
What can happen is that some there may be no universally preferred search engine (likely). In practice, as another commenter noted, you can also have most users prefer more a certain combination of results (that's not difficult to imagine, for example by combining top independent results from different engines for example).