Of course the company that eventually killed them, Google, found its earliest success by explicitly rejecting this ethos. Google was a search engine, they didn't care if it sent you away; they wanted it to send you away, because that meant it was working. It meant you had found what you were looking for. A search engine's entire job is to send you away.
But then came AdWords and the IPO, both of which applied pressure on Google to become something else, something other than a search engine. Something that herded eyeballs together, rather than pushing them out. Something that eventually became what Google ironically is today: a better Yahoo than Yahoo ever was.