The officers didn't become sick. They got stoned. Why can't the news tell the truth? Even though I wouldn't liked to be drugged without my knowledge (unless it was marijuana or cocaine, and they told me, but I'd be happy, not pissed), I still thought it was funny. They noticed something was terribly, terribly wrong with the burgers?

Well... if the workers just put buds on, then the officers would take off the bun, after chewing something strange, and see a bud, and they wouldn't need to test it... No. It was a lie. What probably happened, is that, they enjoyed the burgers (maybe they were the amazing new BK Stackers), and then, an hour or two later, were sitting in there car, eating donuts or something similar, and then, noticed something was "wrong". They probably went back to the police station high as a kite, and they got drug tested, and tested positive for marijuana, and concluded, it was from the burgers, and just so happened to be right.

That's probably what really happened.