Well, maybe not... but I still think this is interesting.
Based on T206 vertical miscuts, we've seen instances of double names (same name at top and bottom) as well as two names (different name at top and bottom). We've seen this even for the same player, in my case, Rossman:

So we can presume that there was at least stacks of two; we also have postulated that based on the ratio of known two-namers to double-namers that it is highly likely that there were more than two stacked on a sheet.
Until now, I haven't seen anything that can demonstrate this. I've been looking around the site recently and came across the
"neighbours" thread that shows the extremely cool "Lash's Bitters" cards and their arrangement:
I probably looked at that thread and that image 20 times without realizing that there were two different Rudoph cards pictured. I noticed that while the two cards were not adjacent, they appeared to line up vertically.
I used the image that
Jantz posted in 2013 to layout the Lash's trade card stacked. Then I overlayed the instances of the backs of the Rudolphs on top of that image. I also overlayed part of one of the Lash's backs to confirm the spacing between the trade cards. It certainly looks like EXACTLY ONE CARD fits between the two of them. I added straight lines and the front images as a guide. Now while it is possible that a different player/pose appeared in that spot, I would put my money that there is/was a third "bitter" Rudoph that fits perfectly between these two.