In 16 players, the MM/cult leader has 14 targets.
3 are neutral, one is prince.
that means 2/3 are convert able.
adding another means there is 5/12 chance they will hit a convert immune.
as you can see, this number is getting a bit high. I don’t want it to be higher.
I am not all against a new BD convert immune; that being said, I wouldn’t want one that is this bland (I think adding some killing abilities to replace the support would be better)
Further notes:
first night, there are 6 players immune to conversion (not including yourself)(according to the algorithm you provided). Only 1 of these you do not want to out. Not only that, but you learn if they were converted.
Over powered much? Yes, unless* you make it so either the lord commander or the prince spawn in a game.
Other notes:
-Lord commander sounds odd. I would recommend it being called warlord.
-Honor and prestige eliminates princess claim for MM in games, seeing as you want this class to be guaranteed.