This is a very important remark. A similar effect can happen when you systematically AAing "into" a shape, you favor the outside, it digs into the shape and reduce its apparent surface by a fraction of pixel. The opposite effect happens when antialias outside of the shape.
This looks like a lot of things to take into account at the same time, but on the upside, it means the AA step is an opportunity to fix some defects of disgracious lines (or borders beween two colored shapes), and volumes which are slightly too thick or too thin.