I'm not sure the Apache even had traditional chiefs. If they did, you can bet their chiefs didn't throw on a vest, skirt, and headband before going into battle. Especially chiefs born in the mid-20th century like Apache Chief. Unless he was trying to dodge the Vietnam War by acting crazy, this probably wasn't his best choice of attire. Most chiefs wore suits and ties for leading their tribal governments and negotiating with the Nixon administration.
Manitou Raven the Apache
Manitou Raven was a slightly more complex character, but he was still bad. A generic spellcasting "shaman" with a name that makes little sense. ("Manitou" comes from Northeastern cultures, while ravens are most common in Northwestern cultures. Worse, because of the Apache Chief connection, DC claimed Manitou Raven came from a precursor to the Apaches:
Manitou Raven and his wife Dawn hail from the Obsidian Age of Atlantis, circa 1000 BCE. They were born in North America, from a tribe which would one day become the Apache Tribe.
What is an Inukshuk?
For more on the subject, see Comic Books Featuring Indians.
Below: Apache Chief giving everyone a peek up his skirt.