Precisely.
Okay, that's enough for me to continue. I'd still like to hear Val's claim, but it's no longer vital.
Assumption #3: Characters are balanced. 20 players, four roles, means five players sharing a role. 21st player is odd man out, give him anyone random, meaning there's a sixth for one role.
Tying in Assumption #3 with Assumption #2: If I were mafia with the information revealed at the end of Day 1, I'd have one or two scum fake claim. If assumption #2 is correct, then they all have access to the proper, original role PM, so trying to catch them via trick words or what have you is not going to work.
For example, if the Scum Harry claimed a Norman, and the Norman scum got lynched, it's likely that the town may just stop looking at Normans for more scum. Eventually they'll go through all the Harrys, find no scum there, and wonder if perhaps assumption #2 is wrong, or if scum Harry is hiding amongst Beths, Normans, or Teds? That's the kind of gambit I would try to run as a mafia, and I can name a quite a few people in the thread that would likely come up with a similar idea.
So, to hammer this in...
Both franklin and Flubbucket are pressing the idea that "one scum from each role". To me, this looks like they're setting up the groundwork for the above described gambit. I find that highly suspect. Anyone suggesting that we don't talk about a subject instantly gets my attention, and Flubbucket is suggesting that we simply accept assumption #2 as fact and stop talking about it.