For the following, please reference Fig 4 of the patent drawing above.
I've come to the conclusion that whoever did the annotated drawing of blue and red molten glass and superimposed it on the patent apparatus drawing above, helped to create a huge confusion factor with respect to how the spinner cup actually functioned. It appears that this drawing has been floating around these forums for some time.
If you look at reference #25 in the center of the cup in Fig 4, you can see the "rod" that is claimed to have existed. In fact, the original patent description refers to #25 as a "groove". And #24 in the above referenced drawing is the cup itself which the patent description states "may have grooves #25 provided in its inner surface".
The spinner cup (#24) as mounted on the machine above was originally drawn on the actual patent plate with a cutaway depiction of the internal "spherically" shaped cup with a "groove" cut in it. In the original patent drawing there is a horizontal line that is clearly drawn across the top of the cup. In Figure 4 above the line disappears and the "groove" magically turns into a "rod". Go figure.
When you think about it the inner stationary "rod" never made sense anyway ... unless it can be retracted down the center of the cup. But as noted, not all the cups had a center hole. And there is no way such a "rod" could be afixed (or retracted) from above. Otherwise the first time the pivot arm is cycled to tilt the cup 90 degrees and eject the cork, it would break the "rod" or jam.