Yes, partially because there are fewer parts to clean. The lack of a removable breech plug in the system makes access to the breech much easier to brush clean than standard 209 inline actions. There is no breech plug to remove, pick clean, soak and lube which removes entire steps in the overall cleaning process.
The new Hodgdon Triple Eight powder burns very efficiently and greatly reduces the amount of unburnt powder and residue in the barrels. Due to powder being in the capsule, there is no powder touching and igniting directly inside of the barrel. The bullet seats on the bullet shelf, not on top of powder. All this means the FireStick system generally reduces the traditional “powder ring” black powder shooters have come to recognize in the barrel after repeated firings. A powder ring left unclean can lead to barrel corrosion. With the FireStick, there is less or no powder ring to clean, so risk of barrel corrosion is also less.
The new Hodgdon Triple Eight is not designed for water-based clean-up. Using a cleaning solvent provides an effective and efficient job cleaning.