Anything smart enough to pass a Turing test is smart enough to fail it.
There's a story from a few years ago about how Target knew customers knew themselves, but they were smart enough to mix the diaper discounts in with some lawnmower specials so it would not arouse suspicions.
I would not be surprised if the algorithms know more than they seem.
Are you talking about "Target knew a girl was pregnant before she knew herself!" story? It does not seem very credible tbqh and even if the particular event described in the NYT article actually had happened, a random advertisement reaching somebody from the intended audience is bound to happen from time to time.
There's a story from a few years ago about how Target knew customers knew themselves, but they were smart enough to mix the diaper discounts in with some lawnmower specials so it would not arouse suspicions.
I would not be surprised if the algorithms know more than they seem.