PP, like chlorine and ozone, is a powerful oxidizer. All three of them try to oxidize organic material upon contact. You can not tell them...go in there can get those nasty pathogens...
but the leave the gills alone!!
You do not need to have a sterile QT...in fact, far from it. Sterile water is water with VERY high ORP readings such as over 650mV. It is sterile because it will kill any organics (such as bacteria) within seconds. Our ponds on the other hand work just fine with naturally mellow water with ORP ranges in the 300-400 range.
So if the your QT has ORP above 300, with stable ph, and DO at 80% or higher of saturation (which decreases as temp increases)...and the QT fish are pathogen free (at least no parasites found from scraping).....then I would not disturb the system. If it is good enough for the QT fish, it should be good enough for the new comers. If not, it needs to addressed anyway.
You can purchase a ORP meter that you can calibrate for will under $150. You would need such a meter any how to accuratly do a PP treatment (ORP to the 500-550 range). Otherwise, you are only calculating (not measuring) that the treatment was correct.