I keep coming back to the original article about a runaway car. The police were called, travelled to intercept the faulty car, then brought it to a halt. That would take a bit of time.
If the fail-safe braking system did work, and if the driver was surprised to find that the brakes behaved differently to normal, isn't it reasonable to assume that their first reaction would be to press harder on the brake pedal?
Let me think … if my brakes weren't stopping me in an emergency, would I just think "well, there's no point in pressing the brake pedal again - I'll phone the police". Or would I panic, and stamp on that brake pedal as hard as I could? And if I didn't immediately consider stamping as hard as I could then, surely, during the time I was waiting for the police to arrive, I would at least try everything I could think of … including trying the brakes again.
Finally, is it unreasonable to presume that total brake failure would be a possible scenario included in the police call handler system. If so, the call handler is likely to be given a series of actions to suggest to the driver … possibly something like PRESS THE BRAKE PEDAL AND TELL ME WHAT HAPPENS! No? then wouldn't the traffic officer attending take the driver through a series of actions, only using his car as a mobile safety cushion as a measure of last resort?
Ultimately, we as car owners shouldn’t need to worry about how our brakes work - we only need to know that our cars have brakes and that we use them by pressing a pedal. Just like we know that turning the steering wheel will cause the car to turn - how the car effects the turn is irrelevant to the driver. Detailed understanding of systems can be interesting but largely irrelevant to day-to-day driving.
The probability that this is a true story is impossibly small. On the other hand, just because something is improbable doesn't mean it's impossible!