The fingers of the spacers keep the spacer centered with the wheel bearings. If the spacer is inserted in the wrong orientation, the larger/ wider fingers will rub the inside of the hub that was meant to have the smaller fingers. When the spacer is mounted, the spacer doesn't spin with the hub. If the fingers werent there, when you pulled the axle out the spacer would fall and not be centered with the bearings.
Intuition has me thinking that the inside part of the hub (towards the inside of the hub from the bearing) would have 2 different diameter holes (below the bearing on the inside of the hub) to match the 2 different diameters of the fingers on the spacer. I would think it would only fit 1 way(larger fingers go to the larger diameter hole- below the bearing on the inside of the hub).