Great point, it reminds me of when I read about how "trials by ordeal" sometimes worked.
Consider the boiling water/oil thing: If you're innocent, you can "stick your hand in and not get burned."
What they did was, they faked the water being hot by blowing bubbles in it. All then that was needed was for everyone to "believe it worked," The innocent sticks in, and then the guilty confesses.
In an era where mass media basically didn't exist, most people couldn't read, and information about how these things work could not easily spread, it might have been easier to convince people that a fake test was really what you were claiming it was. If people could google it they would instantly find out it was fake.
Consider the boiling water/oil thing: If you're innocent, you can "stick your hand in and not get burned."
What they did was, they faked the water being hot by blowing bubbles in it. All then that was needed was for everyone to "believe it worked," The innocent sticks in, and then the guilty confesses.