Special Order for connections. If you want to tutor for connections, this and Logos are your only choices.
But do you need to tutor for connections? There are two main types of decks that want Hostage: decks which run a toolbox of many different connections, and tutor out exactly what they need (ex: Ian's Creepy Sleepover), and combo decks that splash a single high-influence target which they absolutely need to find (ex: Faust Theory).
The first sort of deck is typically criminal, due to influence Considerations. In these decks, Hostage justifies its deck slots fairly quickly. Would you run 3x Kati Jones? Hostage lets you cut two of those, while still finding her just as quickly. Any further connections in your deck turns this into almost pure upside. Donut Taganes? Jak Sinclair? The Helpful AI? The Source? Mr. Li? You'll be out 1c, and the click you used to draw Hostage, but you make that up by saving influence and minimizing dead draws later in the game.
So all Criminal decks with enough targets should run Hostage, right?
Not necessarily.
Redundancy can be good. If you're worried about rebuilding after The All-Seeing I, or having your Film Critic Snatch and Grabbed, you might forgo Hostage and make up with redundancy.
The other reason to hesitate is Hostage's anti-synergy with The Supplier. Not that you can't run them together in the same deck, but the opportunity cost of playing Hostage, versus drawing and hosting your connections, does become greater.
The second sort of deck does not yet have much diversity. There are not many connections with influence >2, with Theophilius Bagbiter and Woman in the Red Dress being the most plausible targets. There are a few other potential choices for criminal decks, with The Source being the most obvious potential combo piece for which you might want to save influence.
A small number of decks take a hybrid approach: they use splash Hostage as copies 2-3 of another key 2 influence splash, and gain value by being able to tutor their Kati or other utility connections once they've found their main target. Examples: With Donuts, ProCo, and Helpful AI/Underworld Contacts
The best part about this card is the artwork, in my opinion, and how many questions it leaves us with. The "hostage" in the image is Thomas Haas, son of Director Haas and supposed secret bioroid. But the intriguing part about it is that not only are his hands not bound behind his back, but he's crossing his fingers on his left hand. Almost as if he were in on it with his kidnappers and hoping that they can pull off tricking his mom into paying up.
— ShaperLord777