It wouldn't? Maybe not immediately, but over time, as more players die off, that info can come in handy as a checklist on existing players, if there's a ballpark of how many scum were in a given pool.
I'd actually consider the council vote to be less likely to be informative, it's more of just a hedge, I'd consider it about a 90% chance for that lynch to go through under those stated conditions. I'm willing to try it though, just not at the exclusion of throwing everything we can at a dangerous slot because our approach of attack is decided by information they have provided for us.
Fuck that. What sets Nana apart that she has established nigh-invincibility, *and this is before powering up* we gotta address that first and foremost. Xlaw can be dealt with using abilities until proven otherwise.