-area-metrics is intended for use with group average data, because group average surfaces lose folding definition and therefore surface area (in some locations more than others). To avoid this coordinate averaging effect, we compute vertex areas on a group of individuals, and then average those vertex areas together instead.
For individual data, it doesn't matter which argument type you use, but the
surface arguments are generally more convenient (they do the same thing,
but compute the vertex areas for you without an extra command).
Tim