Premise 1: King is trustworthy so long as the odds of him being BD are greater than a random non-king D1
Premise 2: People won’t claim to someone who isn’t trustworthy be default
Odds of being evil (Cult/Unseen/NK) if you are not king:
3/15 or 0.2 or 20%
Odds of being non-BD if you are not king:
2 or 3 neuts averages at 2.5 neuts. 3 non-neut non-BD for a total of 5.5
5.5/15 or ~0.37 or ~37%
37 > 35
37 < 40
thus the 5% crossed a thresh hold that makes king go from most trustworthy to least trustworthy.
Oh and if you assume that all 3 neuts spawn then its 6/15 or 0.4 or 40% = 40% meaning King is NEVER trustworthy now.