I have this issue virtually every time we have an outdoor encounter in Road to Legend: how do trees affect large monsters, particularly large monster movement?
The FAQ has a wonderfully unhelpful related answer that doesn't even begin to image all of the ramifications of its own wording:
Large Monsters and Terrain
When large monsters move, they can sometimes find themselves moving across hazardous terrain (lava, scything blades) twice as often as other figures. Further, it can often be confusing whether or not beneficial terrain (trees, elevated terrain) should affect a creature only partly standing on it. Use the following guidelines to arbitrate these instances.
The overlord may choose to have a monster affected by any terrain it partially occupies. A monster MUST be affected by any terrain it completely occupies. If the monster is completely occupying multiple terrains, the figure has to be affected by one of the terrains (Overlord's choice).
And in case you're not familiar with trees:
Tree
Block Movement? No
Block Line of Sight? Yes
It costs two movement points to enter a tree space. A figure in a tree space is considered to have the Shadowcloak ability. Large monsters only need to occupy one tree space to benefit from this ability.
If I'm missing anything else related in the official rulings, please let me know. Assuming I'm not, let's look at the following popular RtL outdoor tile. T = tree, O = open space, X = wall, or whatever.
XOOX
OTTO
OTTO
XOOX
It's a cross intersection with a 2x2 set of trees in the center. Now let's say I've got an ogre, a 2x2 creature, coming up from the left and going to the right. What happens when he makes his first move into the trees? He's going to be only half occupying them, so according to the first ruling, I can choose to have him not be affected by the trees, right? Which means I don't pay any extra movement? When the heroes' turn rolls around, and they attack him, can I choose to have him affected by the terrain at that point? Thus, I get none of the disadvantage of the trees (extra movement cost) but all of the advantage (Shadowcloak)?
And now let's say I move into the center of the tile, so that I'm completely occupied by trees. At this point, I no longer get to choose - I am affected by the trees. So I have to use Shadowcloak. Whoo. But what of movement? I'm definitely entering two tree spaces, and sort of entering two more (am I?). Do I have to pay two extra movement, effectively giving my ogre one space of movement this turn? Do I have to pay four extra movement, giving me zero?
How does this work?