To the contrary, animal studies are quite reliable predictors of human harm.
Animal studies are a basic stepping stone of toxicology.
Those who say otherwise typically don't like the results of the test in question. Every single regulatory agency in the world uses animal studies as the basis for regulating chemical use and protecting human health. In fact, industry is effusively supportive of animal studies when they support a claim of safety for one of their products. On the other hand, negative results from a single, and sometimes repeated, animal studies are not reliable predictors of safety. This is exactly the opposite of the human population where millions of highly variable individuals are exposed to widely different doses at different times in life.