Yes, but what makes a creature magical?
Humans can be magical, if they are able to do magic. Creatures don’t do magic though–they each just have their own idiosyncrasies. Cows are also weird–they have 4 stomachs. Venus fly traps are a plant that eats bugs. Bats have sonar. Mosquitoes eat blood. Dogs can smell something huge distances away.
I think we can define magic as something that breaks the rules of physics and the world in a way that doesn’t simply redefine physics. Meaning, gravity doesn’t break the rule of physics requiring items not in motion to stay not in motion unless acted on by a force–it redefines by adding another rule that gravity is a force.
Bats don’t break the rules–they add a rule that some creatures can have sonar. Transfiguration breaks the rules of science. Werewolves are simply a new communicable disease.
Why would the ministry care if muggles knew there were werewolves? Why is it different from muggles knowing about ebola?