A dead man's switch with a very short time-out would make that kind of attack a lot harder.
For the extremely security-conscious, it could even be a kind of fail-deadly (https://en.wikipedia.org/wiki/Fail-deadly) feature that wipes the phone.
For the extremely security-conscious, it could even be a kind of fail-deadly (https://en.wikipedia.org/wiki/Fail-deadly) feature that wipes the phone.
The right approach is to recognize what FDE is good at (minimizing the risk that casual thieves will get data in addition to valuable parts, and protecting computers that can frequently be powered all the way off from even advanced attackers), and then use something better to protect sensitive data.