Earlier quoted context omitted.
I'm unsure how your device being Android means you won't hand over the keys when prompted at gunpoint. Can you explain your line of thought?
It's much easier on Android to setup all kinds of alternatives. You could setup a 'dummy' key that if entered would alert the police, for example. Failing that, you can setup different keys for different services with different levels of access, as well as have third party equivalents to 'Find my iPhone'. Not being in the walled garden provides a lot of freedom and flexibility to setup contingencies.
If we're moving into the realm of the ultra paranoid, high security over convenience focused user - sure. In fact I dare say such a user might prefer a Linux phone with physical keyboard, or no phone at all. But if we're talking average iPhone or Android users here, I can't imagine the scenario would change much at gunpoint.