I'd guess my smooth bore is a little faster cleaning due to the barrel.key and hooked breech. Yes, the smooth bore does clean with fewer strokes than a rifled barrel.
All my barrels are revoved for cleaning and the breech dunked in a small stainless bucket of water, maybe 1/2 gallon.
Water is sucked in through the vent then blasted back out using a cleaning rod with snug fitting doubled flanellet cloth patch.
1 patch to clean, then remove barrel from the COLD water, the 4 ot 5 patches to dry it, then LIBERALLY spray WD40 into the bore until it runs out the vent ( this carry's ALL moisture remaining around the plug, out the vent) The excess WD40 is then patched out, barrel dipped down with that unfolded patch and replaced on the stock.
On my flinter rifles, all have pins and same deal for cleaning.
1 patch to clean, 4 to 5 for drying & oiling. It is dry enough here that no other rust prevention is needed.