I don't think anyone really believes it'll catch a ton of "good to have you here, the bomb is ready"- or "whew so nervous carrying these 50 pounds of contraband!"-bad guys.
Also I'd slightly question the ease of creating burner accounts. Facebook will show your sign up date, and something too recent will be suspicious. Other things like "why don't you have pictures of your FB friends on your phone" and on and on could be clues to a fake account. Not saying it's really hard, but it's not something you'll whip together a week before your trip.
http://travel.trade.gov/view/m-2016-I-001/table1.asp
And apparently ~500,000 Visa overstays.
How many of the 40 million should we put off traveling here to catch a fraction of the 500,000? What ratio of turned away violators to hassled travelers is "very effective"?