After all my listening, I believe that if I was law enforcement I would appreciate the lie detector. It doesn't actually detect lies, and a trained person or a sociopath 100% in control of their emotions and heart rate can beat it. And many people have.
However, the power in the lie detector comes from its name - "The Lie Detector" - and the common belief that it actually works.
The interesting result of a lie detector isn't that it actually detects lies. No matter what the result is, if I was an investigator, I would tell the suspect that it said they lied and it is 100% accurate. The reaction to telling the suspect this, and what they do next, could very well result in a confession, or at least meaningful information. It's a psychological trick that is quite useful. The lie detector is such an absurd piece of theater, and most people have never seen one before let alone had one taken, that they cannot prepare for the result. If you interrogate 100 suspects, you can use their reaction to further your opinion of whether they are truly guilty by comparing to your past interrogations.
Now, would I ever agree to take a lie detector test? Hell no! And they are also not admissible in court, as the law understands that they don't actually work.
But in an interrogation process, where cops are lying and deceiving and tactically revealing information, it is a good arrow in the quiver.