Earlier quoted context omitted.
Even worse, the person behind you might fail the brake check. I can't believe people are knowingly operating faulty autopilots on public roads. If my car randomly braked I would take it to the mechanic - not continue to drive it.
Autopilot should be fixed, but the problem in your scenario is people trailing others too closely. If you fail phantom braking, you're going to fail real braking whether it's activated by a computer or not.
So no, it's not the case that people trailing too closely is the problem. It's the case of the Tesla requiring, without good reason, the car behind them to brake hard to avoid the collision. This is dangerous and (usually) illegal.