Just wondering what everyones opinion on this is?

My parents have a dog, that recently attacked their older dog and it needed to be put down becuase of its injuries. DD and I were there when the attack happened and it was over a plate of DD's food that my mother was carrying.

My sister and I have told our parents that our children will not be allowed at their house without us there to supervise unless they agree to take the dog to behaviour management and keep the dog locked away from the kids at all times.

They are fighting this every step of the way. They insist the dog only has a problem about food with other dogs, we should trust that they believe the dog wont attack the kids and are extremely upset that we wont allow the kids to interact with the dog anymore or leave the kids there without us. Problem is though, even when we are there they "accidently" let the dog out numerous times and then accuse me of overreacting when I pick my daughter up and take her away from the dog.

Am I overrreacting? Is it unfair to ask them to lock the dog away? What would everyone else do?

I dont have dogs, not a fan of them. So I guess I want to know the etiquette for asking others to lock away their pets because I am not comfortable with them around my child.