That's just it, Drip Dry = no longer sterile. Paper towels = no longer sterile.
I used to work for a cosmetic company. The labs that produced our formulas (lotions & creams) provided them to us in either gallon jugs or 5 gallon pails, once in a while a 55 lb drum. Decanting was done on premise, by pump into bottles or jars, then labeled. I asked the Lab Gods SPECIFICALLY if the bottles needed to be treated before being filled. The answer was a clear and definitive NO. For exactly the reasons Carebear stated. Properly stored CLEAN, DUST FREE, DRY, NEW packaging shouldn't need to be treated.
I suppose that if you don't have proper storage and your packaging is exposed to contamination while being stored you could have a problem.