So I've been doing this event on about 10 characters, and here are my results for now, in %, after 1586 runs:
Badge Totem Rabbit 22.2 21.4 20.2 Dog 10.5 10.5 5 Hog 5.4 1.8 1.1 Bear 0.75 0.7 0.06 King of Beasts 0 0.06 0.13 Hunter 0.06 0 0.06
We all knew that getting the top tier items was nearly impossible. That's Nexon's usual modus operandi.
The interesting thing in these results, to me, is that they went the extra mile and made Totems harder to get than the other stuff. We have 3 totem slots vs. one pocket (at most, some haven't unlocked it) and one badge (which for non-mules is taken up by the Ghost Ship badge that no unpottable badge can surpass), and these totems are Unique Equipped so you couldn't use three Dogs if that's the best you got. And yet, they made the Hog Totem so rare, that you don't have to be exceptionally unlucky to fail to get it despite doing all your runs every single day. The utterly useless Hog Badge, on the other hand, is quite easy to obtain.
That's the extra twist of meanness that proves the GMS team does, in fact, know how the game is played - and uses that knowledge against us.