In practice the terms are used interchangeably and the work is the same. The distinction people are usually reaching for when they compare GEO and AEO is a distinction of surface, not of method.
GEO against SEO#
Classical SEO competes for a position in a list of links. This competes to be the sentence the model produces. The foundations overlap heavily, so anyone selling them to you as opposites is selling you the same work twice. What genuinely differs is the measurement: citation rather than rank, because the buyer never sees the list.
Built in, not bolted on
We build this into the brand and website work, because most of what decides whether a model recommends you is positioning and site architecture.