The problem is false information will all too often be volunteered under duress, and this can and has led to false arrests and illegal imprisonment.
This is the logic that escapes the minds of the inhumane and the psychopath.
That's only 1 side of it though. False information doesn't grant the victim an instant reprieve, like Hollywood would want you to think. In most cases an experienced interrogator (that's what a lot of torturers call themselves) will continue the torture and make the victim recite the answer backward, forward and even make them spell it out, over and over.
Again, we don't like to think about it and hold tightly to the "humane" idea that it doesn't work, but it does. It works and it works consistently. And has for most of human history. Few of us want to really put it to the test of course, but a large contingent of really nasty people swear by it. Saying that it doesn't work is only good for helping people sleep at night.
The truth of the matter is quite horrifying.