Some Corrupt have "Innate Pyramid" as described on page 72. They are not intended to have a special non-rulebook ability, so if at some point the rule is altered so that they must call "Magic" before each 'storm' packet, they will follow that rule.
Currently, you only need to call "Elemental" before using each 'storm' packet if you are using the Elemental Augmentation ability (per the link that Seth put up). Using the Magic Augmentation ability doesn't require the additional information. In general, you should be able to assume that if someone continues throwing 'storm' packets while Silenced that they have either begun their incant with "Magic <X> Storm" or "Activate <X> Storm," since continuing to call "Magic <X> Storm" or "Activate <X> Storm" isn't required. If you incanted a 'storm' spell and are Silenced, you cannot continue to throw packets until the Silence effect has been removed. If you have reason to believe that someone is doing one or the other improperly (you saw them incant the spell, and saw them get Silenced) it may be appropriate to remind them, but otherwise we should each assume that the folk around us know the rules well enough to use their abilities correctly.