Remember that it's only asymmetrical if it's held blade horizontal. If the blade is held vertically, it doesn't matter.
I'd also point out that, at the distance the spear could be thrown in battle, symmetry probably didn't matter all that much. It's so bulky that it's not going to fly far, regardless of the shape of its head. The fact that the shaft is widest near the head also might serve to balance the head.
That said, I'm not sure whether these spears were used more for throwing or in hand. Regardless, I think they could be thrown at need.
Just another thought,
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