It does go. I sometimes get it back when I over do it with VG based liquids though. When I stick with PG - no coughing!
I'm the exact opposite for some reason. PG hurts my throat bigtime and makes me cough, but the VG soothes everything for me.
I had been using Combivent and Albuterol inhalers (for very recently diagnosed early COPD), 4x day, for several months before I started vaping. I was popping Extra Strength Tylenol Severe Cold caps during the day and also at night so I could maybe sleep a few hours before the coughing would take over and wake me up.
My cough completely vanished by the end of the 2nd week (I'm at 3.5 now), but I quit analogs entirely, too.
No more inhalers, no more cold meds.