Indeed, often the toxins remain in the animal until completely dijested. This isn't entirely true in most species but who knows, either way you're not eating the star so what can it hurt.
Asterinas are a hit or miss with being reef safe or not.. zoanthids are on the dinner menu to my knowledge for those that prefer a much pricier meal!
And then there's the fact these breed like rabbits.. best to nip them before you can't keep up with them.