I don't trust the ADS-B plot to perfectly reflect turns. Ian W mentioned that it could be up to 30 sec. (Worst case) before a turn is seen on the radar scope. But it's something like 21 nm, mesaured on Skyvector, from the point where they're heading for Mt. Wilson to Mt. Wilson. What happened during those 21 nm?? Even at 360 kts over the ground, it's 3,5 min. No sign of a turn.
I can agree it would be better by the controller to keep direction of turn to the same direction, as the autopilot (which i am sure was never disconnected) can be quite sluggish.