Looking again at the youtube video M Gilligan links to, it is clear that as the scape wheel moves it starts slowly and then clicks round. This is the effect I refer to above, with the movement of the scape pushing the pendulum to keep it going.
Looking at the pivots, as MG also reminds us, there is a rolling action rather than sliding at the pivots. Therefore it is clear that the exact shape of the rolling surfaces is important. The pivot must be smooth, and more important, I think, the base of the large hole in which it rolls must not have any groove or roughness. This applies to both sides of the pivot, of course. It may be that the clock in question is worn in these areas, forcing the pivot to slide rather than roll, and so increasing the friction.
I don't think (and I have not suggested) that the exact position of the pivot is critical. The only other factor I can think that would increase friction here is the need for some end float of the pivot. If this is eliminated (perhaps by adjusting too far in, ?) then this will add friction to the movement of the pendulum.
Finally I note from the video that the scape wheel shown there is held by a set screw on its arbour. This may be a clue to the option of moving the scape so that it contacts a unworn area on the pendulum.
Cheers, Tim