So there are a couple of problems that compound on each other into the current state of alchemist
First is that BlueDragon has no reason to keep a neutral alive, most of the neutral classes are at worst actively killing BlueDragon targets, and at best maybe a BlueDragon unit gets healed of poison. Maybe.
The only real punishment for ruthlessly executing neutrals is that executing a fool buys killers more time, but execution via the prince bypasses altogether, so just let the prince do it.
Ideally you would have games in which it’s viable for the prince to claim neutral to avoid getting attacked by evil/neutral killers.
Second is that claiming to be an alchemist is a sort of “newbie trap”. Alchemist is a “harmless” role to claim for newer possessors, reapers, and unseen/cult alike which more often than not means that people whom claim alchemist not aware of the fact that that BlueDragon has no reason to keep neutrals alive.
It therefore, never reaches the second stage of mind-games in which only a fool would claim alchemist and everyone here knows not to claim alchemist so let’s not waste our 2-3 precious execution days on that guy.