I recently played with the Woodlands for the first time and was struck partly by how many strangers are in its deck but mostly by the unspecific text on many of them. Half of the 14 strangers clearly state whether they remain or get discarded after the encounter, another three (Oberon, Titania and Toad King) are clearly discarded in one of two outcomes but are less clear in the other outcome, whereas the remaining four strangers give no instructions.
I checked all strangers in all other expansion adventure decks (couldn't be asked to go through the main adventure deck: that thing is huge now) and virtually every one clearly states what to do with the card post-encounter. Usually, strangers are discarded once they have been encountered.
Since there are no instructions on the Woodland strangers, we were forced to let them remain in play, which meant the forest was soon rather crowded with strangers (well, at least it felt that way with some five or six of them waiting for attention at any given time). So, if anyone happens to know what to do with all these cards, I'd love to find out.