The Haruspex will be able to heal players no earlier than the 4th night (that is, two nights for the autopsy, the 3rd night for brewing, and the 4th night for another corpse and distributing "elephants" – 1 for himself, 1 for someone else). Moreover, by the 4th night, it will already be clear who is who, and therefore the Haruspex will simply confirm for himself (and for others, of course) that a certain player is not a member of the Mafia.
The Bachelor initially has protection against infection, so he can use his ability from the very first turn.
By the way, the Haruspex's night action is called using an infusion. Not infusions.
In general, I don't share your optimism regarding the possibility of the Mafia playing a "positional game."
1. Yes, by the way, if the Plague leaves the game, do those who were previously infected continue to die, are they cured, or do they remain at the same level (for example, minus the night actions and abilities that were lost the previous night, but nothing is lost this night)?
2. And here's another question. What will happen if the Rat Prophet goes to kill the Olghim, and the Olghim redirects all visitors to the Albino? Will the Albino die? Will the Rat Prophet be unable to act on the next night?
3. The Prophet is immune to infection, right? That is, he cannot infect anyone from the Mafia, is that correct?
And here's another test. I don't see how you can explain to the player the absence of his night action if, at the same time, he was not going to an isolated player (or was not isolated himself). This means that it will not be so difficult to find the Albino. Wouldn't it be easier to change this to infecting a visitor or something less obvious?