The critical misunderstanding happening often is, that moving or destroying an image of a thing just involves affecting the species it emits. This is not the case.
Note that (HoH:S p.61)
Iconic species are carried in light
and Imaginem does not affect light: this is the domain of Ignem.
EDIT: See also here.
As Imaginem affects images, the resulting handling of species is sometimes tricky - and shadows are beyond its power.
Such an Invisibility spell is easy to invent but would fail its purpose: no need to publish it. Just destroying the species it emits leaves a featureless shadow standing around: anything but invisible. Destroying a visual image involves moving iconic species around the object made invisible.
Quite. So again ReIm - moving images - does not just move your iconic species away: it moves others in.