If an antenna was really matched to its feeding objects, then all the energy
that
was not radiated (as in short antennae, for example) would pass back down
iinto the feeding objects.

However, in order for there to be a reflection back into the antenna from
the feeding objects,
there has to be a mismatch (fundamental
transmission line theory), and therefore, for the energy fed to antennae to
stay there, there
has to be a mismatch at the feeding point, so, therefore, the antenna is NOT
matched to its feeding objects.