I think the problem people have with Google's control over the search results is that they (perhaps mistakenly) expect Google to be an impartial facilitator for accessing the world's information. It could be argued that organic placement of piratical content in autocomplete and instant searches is a desired outcome, as it shows the average person what's "out there" on the web. Removing actually-popular searches from the autocomplete and instant results is, in a way, lying about reality. People may be thinking, "If they're lying about this, what else aren't they telling us?"
From my perspective, if those of us arguing for things like shorter copyright terms are to have any success convincing the broader public (whose access to information is largely through the media conglomerates), maybe having those people accidentally stumble upon torrent sites when they search for their favorite movie or pop idol is a good thing.
Not because we want them to pirate the content, but because we want them to know that technology provides another way -- that there is a conceivable, technically possible existence that doesn't depend on a controlled feed of entertainment from the existing media players. If only they could experience the digital utopia that could be created if not for the impossibility of negotiating licenses, they might be willing to support a reform of copyright that is in the best long-term interests of society as a whole, both creators and customers.