Not a direct comparable, but Yahoo! used to show a second search box in the results above the "real" results" for the (shockingly many; I don't recall the numbers, but when I worked at Yahoo 2003-2005 it was a not insubstantial number) users who would do a yahoo search for Google to do their actual search, to try to get them to do their actual search at Yahoo instead of clicking through.
The notion of some of them getting stuck in a loop is more amusing to me than it should be.
The notion of some of them getting stuck in a loop is more amusing to me than it should be.