It’s all in how you interpret the story. Animals that endanger humans and can’t be redeemed do need to be dealt with. The stories do talk about attacking humans and in particular the goat being aggressive toward children.
However, it seems minimized: I’m not getting anything about actual danger nor irredeemable behavior. Dogs are dogs, especially with insufficient training: there’s a huge difference between a warning bite and one intended to hurt, and I don’t see references to damage or hospitalization. Is the dog sufficiently trained for the intended role or did she just assume she can take prey out of its mouth with no objection? Certainly the first response to a rented goat not serving the needs should be to return it, potentially with a complaint.
Could 40% of South Dakotans be interpreting this as endangering humans, and with no better options?