This card costs 0 influence if you have 6 or more non-alliance cards in your deck.
Name a card. The Runner reveals his or her grip and trashes all copies of the named card from his or her grip.
Can the Corp play Salem's Hospitality while the Runner has an empty grip?
No. Salem's Hospitality has no potential to change the game state, so the Corp cannot choose to take that action.
If the Runner accesses an Alliance card from HQ, is the Corp required to tell the Runner how much influence that card is worth in their deck? What about if the Runner accesses an Alliance card from R&D?
No. It is assumed that the Corp's deck is legal, and the influence value on the card is irrelevant for the purposes of gameplay.
What happens if the Corp no longer has enough cards in their deck to satisfy the Alliance requirement for a card due to cards being removed from the game?
Does your opponent have a critical card their deck is built around? Blackmail Val? Chameleon-saurus Hayley? Ice destruction Whizzard? Pitch those linchpin cards into the garbage! Even if you DON'T kill critical cards, for 2 credits and a click you now know exactly what the runner is holding and if you have a safe scoring window.
A fun interaction; call "I've Had Worse", perhaps before your SEA-Scorch. They have to trash em, but because they didn't trash it with damage, they don't get free draws! Also, feel free to review their discard pile before calling your target; it's in the core rules that you're allowed to review your opponent's discard at any time, so you can get some insight into what you might want to kill.
Try targetting Levy as their stack gets thin for some real tears!
And, of course, if you have more than one of them in hand you can do one, and even if it whiffs, you know exactly what they're holding and can now target something that will REALLY hurt.
NBN is a particularly easy Alliance to activate, also, since every corp deck is going to run 3 Jacksons. Many decks are probably NBN-allied without even trying.
This is a very fun card, I'm going to try playing around with using this instead of Housekeeping in my Argus deck, for targetted destruction instead of the added stress pressure of a possible 1/turn discard they get to choose.
A highly versatile and useful card for any corp. Even if you have no information on the runner's hand, you can guess one of the more popular breakers before putting down the corresponding ICE, guess a common economy card, or simply protect yourself from bullshit. The click and 2 credits is often worth knowing the contents of their hand, even if you don't trash anything. No fracter in sight? Install that agenda and go to town.
Out of Chronos Protocol: Selective Mind-mapping, Salem's Hospitality gets even better. Not only do you get perfect information on what to name, but it opens up more potential kills. At worst, it's copies 4-6 of Neural EMP, but often you can hit multiple cards, especially against decks that hold onto duplicates. You'd be surprised how often you can kill someone at 2 or 3 cards just for running the previous turn.
Bonus points for being an alliance card with actually restrictive influence.