On SMP I have two copies of a map that doesn't show my position while I hold it, it shows a green arrow in the center instead.
Apparently that green arrow is the position of the frame which holds it, but even if I remove it from the frame, it still doesn't shows my position AND shows the green arrow.

Other maps work fine, so far, but I haven't tried to place them in frames.

I've noticed there is a similar bug reported, but since it is marked as closed, this is either a new bug, or it hasn't really been solved.

Feel free to ask me more details if you need to.