I have no idea how someone did that with a straight chisel or why.

But, although it is not good, it is not terrible.
You can try to tap the points back outward with a flat round chisel and could fill the void with some metal epoxy and mill or sand flat.
If I did not have another head, I would probably just try to peen it back with a ball-peen hammer
carefully and file it flat.
Are you planning to re-do the head anyway?
Eric