I think of The Modern as being characterized by — autobiographical or even personal content with a scientific style — Realism having had no where left to go but the Personal — and The Iliad is not of that kind.
However, if sophistication is the measure of The Modern, then the Iliad is much more modern than, say, The Song of Roland or The Lord of the Rings, and many more works that are much more recent. It’s artistic, which the Song of Roland sort of isn’t.
.i`` * ^ / . . . . . ` `~ 