I'd expect something like the picture below to happen (I haven't seen it anywhere, just what I'd expect).
This picture is for either reinforced or confined masonry.
IN PLANE the vertical reinforcement is continuous (it connects with the slab, at least where I'm from). It can either be in a confining RC element or a strong band made with special brick filled with grout (I'll call it all "confining element" in the rest of my post). This reinforcement is like a column (I didn't draw stirrups for clarity, they may not exist always) and in Europe the distance of vertical bands may not be more than 4 meters which means that the diagonal strut can be utilized nicely for regular storey heights.
OUT OF PLANE it depends on some construction details (on my picture with blue I mentioned that vertical joint may be sliding in non-bearing wall, I meant WYTHE... that's in case that no horizontal reinforcement for connecting with confining element exists in that wythe). The force travels through header bricks to the bearing wythe and from it to confining elements. I wouldn't count on vertical load transfer on the internal wythe because of sliding you mentioned.
EDIT: Sorry, the outer wythe doesn't slide on a horizontal so it may transfer the load in a vertical direction, it all depends on the placement of the header elements I guess.
For unreinforced masonry I'd expect the following picture to happen (I just drew in plane behaviour which basically includes the out of plane component).
Basically what I think will happen here is that the slab will hit the outer wythe which will then form a series of arches between headers, each of which will transfer the load to the other side by joint shear. When the load transfers to the inner wythe it'll form an arch that transfers it to the wall parallel to the applied load. In order for this to work, perpendicular walls need to be connected (at least the bearing wythes).
EDIT: Note that if for example you have a whole horizontal line of headers the load will probably transfer in the vertical direction when loaded out of plane (outer wythe), while if the headers are dispersed the load will travel quite differently... that's why I didn't really draw the load path to or from headers, that's structure specific I believe.