Suppose person A is always 5 minutes late to every appointment. Someone secretly adjusts A's watch to compensate for this, and now person A is always on-time.

Now, A is being fed misinformation continuously (the watch is never correct!), and yet, judging by behavior, A is extremely competent in navigating the world.

(Since "every truth is connected", there is a problem with person B asking A for the time and so on, but suppose A uses the clock on the cellphone to synchronize the time against everyone else.)