To save space and weight in our luggage, we usually place medicine and vitamins in Ziploc bags when we travel, and we've never carried the written prescriptions. (I thought you have to hand over the prescription to the pharmacist, anyway, so how would one have a prescription?) If one wears prescription glasses or contact lenses, does he need to walk around with an unexpired prescription?
On the other hand, if the pills were in a plain container, instead of in a labeled prescription bottle, maybe Customs wouldn't have noticed.
I used to travel a lot (by Amtrak), and I always carried the pills in the original prescription bottles. It was inconvenient, but less so than having to answer questions in a strange city if it ever came up.
What's next for Rush? Breaking down the door of his home to be sure he didn't rip the tags off his mattresses?