The rules are clear in what counts as shooting, only weapons that have the word missile on their weapon profiles (with the normal disclaimer unless stated on the warscroll). Abilities, that are not part of a weapon profile, do not count as being missile weapons.
I had the same type of question with the old thundertusk 'shooting' ability.
Soolong's post in Does the Lord Celestant's "Lord of the Heavens" ability could as him having shot in the shooting phase? was marked as the answer