Why would the controller keep instructing the Eva to turn "southbound" without giving a heading or a direction?
Survival mode, she probably doesn't care as long as they turn southbound. I wonder why the crew hadn't entered survival mode just yet...
One little disconnect between pilots and controllers I can notice at times is the radar delay (lacking a more technical term for it). It's quite common for ATC to tell you to maintain heading whilst in the middle of a turn. The EVA crew is in the right turn south when they're getting a new instruction to turn left 270 deg. The autopilot is quite slow to react to such a change, and they were going quite fast. I guess the ADS-B plot is not updating accurately so it's hard to say what turn they actually did.
ATC and pilots a bit out of sync me thinks.