I do not like this plan. The primary reason is because the only potential downside of having everything be random is both doctor's proc each other and one of them is the NK target. Kind of slim chances. Def slim enough to not make a plan if that plan has any downside.
Assuming we do not lynch a cop or skum today - the pool of players to choose from a Doctor's PoV will on be a total of 9. Doctors take up 2 of those 9 slots, leaving 7 left. So either, the Doctor(s) that have the dead player in their pool remove that player from the rotation list, or they include them as usual knowing that they won't target them. Either way, all skum has to do is create an 4 players in a row that include the lynched player and 3 targets that are not skum - which is almost always going to be possible.
Here is an example of any given cop pool. The selection of NK/Cop targets by Skum is arbitrary:
Player1 -
Player2 - Copped N1
Player3 - Lynched Day 1
Player4 - N1 NK Target
It does not matter where this pool is aside for the fact that skum would need to create it out of 4 players that does not include skum (to ensure a doc getting the shot off correctly on the NK does not mess with their results).
From here, it could go down a few ways:
a) NK target dies, Cop result is a VT - Skum now has learned Doctor is either Player 1 or Player 10. Bad for us.
b) NK target lives, Cop result is a VT - Skum now has learned a Doctor must exist within Player 1 or Player 10. They don't get the kill, but still worse then random.
c) NK target dies, Cop result is a Doctor - Skum gets a kill and knows who one of the Doctors are. Worse case scenario for us.
d) NK target lives, Cop result is a Doctor - Skum doesn't get a kill, but finds the Doctor. Worse than random.
There are like a bazillion different variations of how this could go down with the actual sign up list, but the concept remains the same. Also, to that point, I would like to point out that skum could try to direct the lynch today if this plan is accept to ensure the best pool of candidates to choose from.
Then on top of all of this, something I am not even getting into, is the potential downside town has on itself from the WIFOM the next day.
Don't like this plan. LL is an experienced player - skum points up the wahoo for pushing this.