But why design an emergency device in such a complicated way, a thing that has to rise out of the floor? What if the emergency damages the deployment system? An emergency control device should be as foolproof in design as possible, not reliant on special motors to move it into usable position. If you want to design an emergency joystick for the captain's use, you'd put it in the arm of the command chair. And given the tendency of Trek ships to shake around in combat and send people flying, what could possibly be more illogical than a stand-up control station for emergency use only?
Frankly, in the Trek verse, every emergency control ever devised has been damaged and rendered offline so much that such concerns, while valid, are now just numb.
For example, given the tendency of Trek ships to shake around in combat, send people flying, shoot sparks and have flying chunks of mysterious rock aimed conveniently at people's jugulars, we're no longer really surprised when the ship's self-destruct mechanism somehow fails, or that for two decades we've yet to see straps for those heavy containers in the cargo bay. We almost expect something crucial to fail, hence requiring another more-creative solution.
Basically, with everything on every Trek ship always going offline during a major battle, the joystick would be in good company
