Isn’t that also like having two watches? You’ll never know the time
So in a way, yes.
The main difference is that "don't know the time" is a trivial consequence, but "crash into a white truck at 70mph" is non-trivial.
But it's the same statistical reasoning.
Imagine if the watch simply tells you if it is safe to jump into the pool (depending on the time it may or may not have water). If watches conflict, you still win by not jumping.