As such, I'm a bit skeptical of the method and conclusion of this research. It seems like physics to me, not psychology. Ability to reproduce pitches and intervals does not strike me as entirely related to what they were trying to find out.
How about instead playing different soundbites, of consonant and dissonant pitches, and asking for their opinion in some way? Maybe even allowing the participant to find a relationship by some sliding instrument themself? That would seem more aimed at studying the Tsimané's ability at "perceiving octaves."
Maybe my interpretation of the header and conclusion is wrong. Perhaps the idea is that _some training_ is needed in order to perceive octaves, the same way _some training_ is needed in order to learn how to walk. That I might be able to wrap my head around.