Burden of proof? Ha! My state, among many others, is a right to fire... er, work state, yeah that's what they call it. You can get fired just because you like asparagus much less carrying your banned phone at work. I work with sensitive information all the time, but it's healthcare information and is of little value to most people. But really, should you be piddling with your phone at work other than to take that emergency call? How often does that happen? If my phone gets my attention, say my wife calls me 3 times in a row, I'll excuse myself from the work area to take the call. I'd be willing to bet the guy's boss in fact gives himself such a luxury.
And btw, I can remove the camera from my phone with a nail and hammer. Save that $20 for some beer it sounds like your boss drives you to drink.