Haunted has been played more than once, as I remember seeing that she played it sometime last summer, and then I know she played it at one of the Australia shows that the Chats and Reacts podcast ladies attended (one of them is a HUGE Haunted fan).
For anyone unfamiliar, and I am guessing most here are, there is a YouTube podcast of two ladies from Australia who do real live reactions to Swift's music. Their reactions can be a bit over the top at times (but I will take positive and happy over negative and constantly critical), but they are highly entertaining, and always do a great job of breaking down the lyrics and figuring out where new lyrics might connect back to older ones. They went to a handful of shows in Australia, the last of which they were invited to by Taylor herself, who had her dad meet them at the show, where he let them sit in the VIP tent and handed both personalized letters Taylor had written to both of them. Very cool.
And yeah, I suspect much of the new album that is not in the every show set will get played at some point in the surprise slots. She did My Boy Only Breaks His Favorite Toys last week on just piano, and my guess is that is how she wrote the song since it is one of the six solo writes on the record.