As part of a duress protocol — where your extortioner is likely observing you — law enforcement would be required to go through the motions of arresting you and taking you offsite. You can expect to be held for X hours regardless of whether they believed you had simply made a mistake.
Long and unavoidable administrative delays make it much harder for villains to subvert protocols. See also time-delay bank vaults and mandatory two-week vacations for pension fund managers, where they are locked out of corpnet.