I'm torn on this issue.
On one hand, the woman offered full compensation to the farmer. I think that warrants giving the dogs a second chance. Killing the dogs won't fix the farmer's pigs, but the family clearly wants to remedy the issue. I think it isn't too late to euthanize the dogs if they re-offend.
On the other hand, the farmer said the dogs were charging the farmer until they were baked into a stall and secured, and it's in the local laws to euthanize dogs that harm livestock.
Difficult situation for both families to be in, I do not envy them one bit.