I note that the VA aircraft was being pushed back, so under the "control" of the tug operator rather than the pilots. Though the pilots would have looked left/right before requesting the tug operator to commence.
I also note the report that teh JQ aircraft had no passengers on-board, so I assume it was being delivered to the gate by a tug. If that is the case then there would not have been any pilots on-board either, just an engineer.
So one for the ground handling companies to sort out regarding responsibilities. Not sure I would want to be the tug drivers explaining this to the boss.
Looking at the photos of the damage, it looks like the rear edge of the VA 737 wing tip has sliced through the tail-cone of the JQ A320.