Only branching order is informative in a cladogram, not necessarily the
order taxa are in from top to bottom.
Strictly speaking, a cladogram is the outcome of a cladistic analysis, so,
in a cladogram, the order from top to bottom or left to right is _never_
informative: a cladogram has no properties except the branching order (and
the branch lengths which are usually not displayed in cladograms derived
from parsimony analyses), just like how plain text does not have a font, a
font size, or a color. It just so happens that PAUP* displays cladograms
with the outgroup on top and the rest of the taxa as close to the order in
the taxon list as possible, and that people usually _display_ cladograms in
such a way that the taxon they are most interested in lies at the bottom (or
right).