Then they're no longer "power" steering or "power" brakes. Even on a small car, you get about 20 seconds or three to four episodes of braking, then it's your leg vs the machine.
Power assist systems simply reduce the effort to use them. It does not reduce the effectiveness of the mechanism. If you can't control a car in an emergency without the power assist system, perhaps you shouldn't be driving it.
I've driven several vehicles with neither power steering or power brakes. Power steering is primarily needed when maneuvering at slow speed -- good systems reduce the power assist as speed increases.
It takes very little effort to apply non-power brakes if you simply lock your leg and let the reduction in your momentum continue to apply the pressure. For those that don't understand the physics, think: "I slide forward in the seat because the car is slowing down".
I’d love to get my hands on that car. Most cars use the drive-by-wire technology but I can not see the brake system using that set-up. It just wouldn’t make sense. I wonder if that driver even tried to put the emergency brakes on??