The chiton (short chiton: chitoniskos) shown in the article and the chlamys look true to period and would be appropriate for most Greeks. I want to emphasize the draping of the chlamys. There is an SCA garment myth where the chlamys is pinned over one shoulder and then allowed to drape under the opposite arm. I have found no evidence of this. The Greek chlamys typically goes across both shoulders. The SCA mythological garment is also sometimes called a himation which is also not supported by the evidence. The himation goes horizontally around the body and then is draped over a shoulder. The “sash” garment seems to be purely an SCA myth.
So, as a refresher:
Chlamys.
Himation.
I also want to emphasize the draping of the exomis (one shouldered chiton). They show how the right side can be worn folded down or hanging loose, rather than pulled over the left or cut at a diagonal.
One place where I do not agree with the article is on textile decoration if it is applied as a generalization to all chitons and not just those on Macedonian soldiers. There does seem to be evidence that chitons were made with decorative patterns, either by weaving, embroidery, or paint.