Chapman's "Instructions to Young Marksmen - Improved American Rifle" (1848) is a good source for information on picket bullets. With their short bearing surface they require care / tools for loading to keep them aligned. With a smooth-bore and to answer the OP question, without spin imparted by the rifling they have nothing to stabilise them in flight.
With regards to assertion that the "patched ball is more accurate with the right load—if the barrel twist is designed for a patched load." - this may hold true for short range, but the Minie will soon excel as range extends and it will also out range the PRB. Rifling twist should not be considered alone - also consider depth and form of rifling grooves and lands. The P.53 Enfield had a twist of 1 in 78, but also had shallow rifling, that got shallower towards the muzzle, and with wide lands and grooves. The rifle could be loaded quickly.
David