Earlier quoted context omitted.
On the other hand, not giving your password right away may be interpreted as an indication that you have something to hide (which you inevitably do), and they may tag you for even further scrutiny. Also, UK: don't give your password, go to prison. Indefinitely.
What about plausible deniability keys? 1 password hides the real stuff, and the second one that you give to the police just gives them access to your porn collection (which someone very well might want to hide!).
First of all, a truly careful criminal can use this method to comply with the law while still hiding what they are really after -- negating the usefulness to some extent.
Secondly, once law enforcement catches on to this, they can then claim that someone that does disclose a password actually gave them a plausible deniability or duress key, and they haven't actually given up the real key, and thus the innocent person could potentially be convicted for not giving up a password that doesn't even exist.