My pets were important but my children more so, an example (didn't happen to me),if i had a child who was allergic to pet fur I would find the pet another home, not find my child another home! When people don't have children or children have left, their pets are just as important as kids & often treated like their kids but most people would for example put saving the life of a human being before that of a child.
Our animals are very important though, if we take on the responsibility of caring for them we must care for them & set a good example to our children if we do so conscientiously. Wouldn't pay too much attention to what people say on forums,maybe the person has never had a situation where she had to choose between animals and children.