Red cloak of Spartans

[hoplite14gr]

Corinthian hoplites would be at least middle class. So they could afford colored clothing. Those with incomes coming from maritime trade would have more expensive clothes.
The Hippeis class would even had embrodered chitons. Red color is more asociated with the aristocrats so it was more than likely.
The once Royal Clan of the Backhiadae would have at least purple stripes if not purple clothing.

Corinth being a Doric city would have the 3 Doric tribes HYLLEIS, DYMANES, PAMFILLEIS sporting their respective "meanadros" on chiton and shield edges

Spartans tended to promote uniformity but Corinthians did not.

Hope it helps.