Aha. I think I've noticed a pattern: Where there's a single Transport involved in the battle, it seems to be that at the end (if you win) the results screen always shows you getting a second transport, and losing 65355 (or whatever) other transports, and thus you lose the Transport you had on the strategy map.

Also, I placed a "Hunters can't move form this country for one turn" card, but I hadn't noticed I was last in the round-robin. The enemy moved one of his Hunters, but then it was moved back. I'm not sure if the card doesn't have any effect unless it's played earlier in the round-robin order, or if it did work and his unit was forced back, or if he undid his move and that's why the Hunter was moved back.