I'm fairly sure the Cembalet is the same type of reeds as my Pianet of the same era. If you have to remove and re-mount one they tend to keep their tuning very well, they're held with a single flat headed machine screw through a hole in the reed, with quite close tolerances.
New reeds are tuned by filing either at the free end to reduce the mass and raise the pitch, or across the flex point by the screw end, which reduces the stiffness and lowers the pitch. But the factory tuning is usual good for the life of the instrument.
Edit; I hadn't had time to watch through video earlier, they are a bit different than the Pianet reeds, having no hole. Though I presume if they're inserted to the correct depth they should retain the tuning, and it looks like the reed block is closed at the back so they may just butt up to the end before the screws are tightened.