1.6 Update Desert Festival Villager Shop Randomness Details

Based on the wiki page here: https://stardewvalleywiki.com/Desert_Festival#Villager_Shops:
Every day, two villagers are randomly chosen to host their own shops at the festival.
I was led to believe that all villagers have a random and equal chance to appear in any of the three days as a vendor.

I'm curious to know if anyone knows if that interpretation is true, or if anyone has delved deeper into this topic.
Based on my experimentation of multiple day 1 vendors, I can tell (at least from the Switch version) that:
- Alex, Haley, Caroline, Pierre, Sam, Sebastian, Gus have never appeared for me on day 1 (Y8 if that matters)
- Pam, Maru, Leo, Kent, Clint, Demetrius, George, Evelyn, Marnie, Harvey, Penny, Robin, Vincent are among the vendors that I remember appearing on day 1

I have done this testing on 40 unique seeds, so 80 possible vendor outcomes, so having 7/29 chance not happening 80 times is suspicious.
My hypothesis is that villagers who attend the Desert Festival (as a non vendor) will never show up as vendor during that day, and I'm curious to be proven/disproven (or maybe I simply misunderstood the wording from the Wiki page).

This is not an issue for me, I'm more curious from a pure technical standpoint and so I understand the exact behavior (if anyone is aware of it).
I do have to say that I'm sure this is not a bug either, and I truly believe all villagers do show up for the Desert Festival. My suspicions are that not all villagers appear on every day.
 
After experimenting all three days, I can say for a fact that (at least on the Switch), villagers who attend the Desert Festival on specific days as a non vendor will never show up as vendor during that day, is true.
 
Top