A parallel discussion elsewhere relating to professional sports franchises led me to the following casual breakdown:
racist: Washington Redskins, the erstwhile logo/mascot of the Cleveland Indians
(Rascism is categorically unacceptable.)
misappropriation: Atlanta Braves, Cleveland Indians, Kansas City Chiefs, Chicago Blackhawks
Misappropriation is still generally unacceptable. There are probably some context-dependent exceptions where misappropriation is defensible, but I doubt any would ever apply to professional sports franchises.
appropriation: Seattle Seahawks and Arizona Diamondbacks logos inspired by indigenous styles
Appropriation is acceptable, depending on what you do with it.
I believe this same breakdown can be applied to sift through examples from Tiki culture, but first I feel I need to round up some really solid definitions.