So, I found out you have to TB it from just before opening the door to leading him out of the room.
Ah, that's probably what went wrong for me in my latest attempt. I was sure I'd managed to rescue him in TB mode in an earlier patch, but this time the whole room went up in flames while I was desperately clicking the turn-based mode button to no avail. Ended up reloading and breaking down the door from the next building in TB mode and he ran out that way after quitting TB mode with no problem. As folk said earlier in this thread, even just automatically going into TB mode when one of the doors opens (as already happens with some traps) would be a big improvement.
Hope we'll soon see this addressed in patch 7!
