Of the thousands of “Avatar” screenings held during the film’s record global release wave, none tethered the animated allegory to reality like a rainy day matinee in Quito, Ecuador.

It was late January 2010 when a non-governmental organization bused Indian chiefs from the Ecuadorean Amazon to a multiplex in the capital. The surprise decampment of the tribal congress triggered a smattering of cheers, but mostly drew stares of apprehension from urban Ecuadoreans who attribute a legendary savagery to their indigenous compatriots, whose violent land disputes in the jungle are as alien as events on “Avatar’s” Pandora.

The chiefs — who watched the film through plastic 3-D glasses perched beneath feathered…