Because if that is the case, Brotherhood is simply strictly better than Cult.
Cult Leader is hilariously underpowered compared to the Infiltrator, so let’s not even compare it. Comparing Infiltrator to the Mastermind instead – (assuming people are promoted to Infiltrator)
Advantage Infiltrator
No cooldown on conversion
Permanently immune to the power investigative
Useful day ability
Is always replaced no matter how far into the game you are
Advantage Mastermind
Can hide from Princess for the first 3 days (appears as Observer or whatever)
Which would you rather choose for your scum leader?
Card Counting
When you convert somebody, you are simultaneously removing an enemy and adding an ally, giving you +2 towards majority. Killing an enemy grants you +1 towards majority. We are going to be thinking of this in a blackjack card counting sort of way.
The Unseen have an incredibly strong start at the beginning of each game. The Mastermind converts somebody (+2) and the Assassin kills somebody (+1) and also poisons somebody the next day (+1). We are assuming the poison will be successful in this case because this analysis is looking at best case scenarios for each faction and determining their potential for blow out games. Unseen’s best case pattern is +3, +1, +3, +2, +3 for each night respectively.
The Cult have a decent start with conversion (+2) but follows up with (+0) the night after because of the cooldown. Using the Cult Leader’s killing ability also grants (+0) because the death of a fellow Cult cancels out the death of your enemy. At best, Cult’s pattern is +2, +0, +2, +0, etc…
The Brotherhood have an even better start than the Cult (+2) only because their conversion is less likely to fail. Due to no cooldown on conversion, the Brotherhood can (+2) every single night. Brotherhood’s best pattern is +2, +2, +2, +3 (because of Brother’s kill), +3 (Broken’s kill)
Even if the Infiltrator fails to recruit, the Associate still has a chance even though it puts conversion onto a cooldown.
Even if only the Associate was the one making the conversions, Brotherhood would still be on par with Cult.
That really just says how bad Cult is on FoL honestly.
There’s an argument over which conversion classes are better than others between the 3 factions, but that’s another story. I’m personally in the opinion of;
- Brotherhood
- Unseen
- Cult
ordering of power.
To summarize, the Brotherhood has a powerhouse Scum Leader that no other special leader compares to, a max member count of 6 including (The Broken) while converting even faster than the Cult (with a max party of 4), and very useful member abilities that can cause a lot of disruption.
To conclude, I believe the Brotherhood is grossly overpowered.