Well...if the anemone bothers the hawkfish, he'd move unless there's a source of force pushing him into it. An interesting documentary on National Geographic or Discovery channel about reefs explained that the clown fish behavior with anemones have also been seen in other reef fish such as hawks (gobies too). So, even though bizarre to our nature of what we know, evidently this behavior is spreading among other reef fish. This kind of proves the symbiotic relations between clowns and anemones are being leanred by other fish and taken advantage of. So your question "Is this normal?" really doesn't have an answer other than it's been discovered it's a new behavior among other reef fish besides clowns. Guess it depends if the hawkfish you have has ever seen and practiced such behavior.
We, as a people, know so much more about outer space than we do about our own oceans. This lack of knowledge can very well spell the dangers that lay in wait for us.
The oceans surely would swallow us before a rock comes down to smite the planet of it's life.