Unfortunately you are describing a choice between A and B. And B does not exist. It would not make a profit, and therefore nothing short of the government providing better search can make it happen, paid for by taxes (Google's operating budget is ~$80 billion dollars, which would have to come out of your taxes). We both know we don't want that to happen, so ...
Given that you're describing a choice between A (for profit recommendations) and nothing, there is but one choice.
Well, there's 2: data collection algorithms that profit "off of you" or no data collection algorithms at all. No context sensitive search, regular lingerie of the wrong gender on your amazon frontpage, baby diapers on the front page of walmart.com when you've long since retired, ...
> That's exactly what these algorithms do. They try to find what YOU would find meaningful and fulfilling and they really do try to give it to you. When that means money will be exchanged they prefer one vendor (that has paid them) over another (which hasn't, or paid less), but does that really change anything ?
To me, this question is asking, "Is there a difference between a data collection algorithm whose primary goal is to help me, and a data collection algorithm whose primary goal is to profit off of me?" While there does exist a subset of transactions where the results would be the same, this whole article upon which we are commenting provides ten case studies of unintended harms or instances where the interests of the data collector and the interests of data collectee are not aligned. If you are looking for a more in-depth discussion illustrating some of the potential harms, I found Robert McChesney's Digital Disconnect to be a convincing first look at the problem, and there are some good documentaries on Thoughtmaybe that may be relevant as well, including Advertising at the Edge of the Apocalypse, Weapons of Mass Surveillance, and Adam Curtis's The Century of the Self.