Perfect harmonic tunings sound incredibly exotic and out of tune to Western ears - not least because we're so used to slightly-imperfect equal temperament. We have decades of exposure to it, so it sounds normal. A perfect perfect fifth sounds very strange, even a little disturbing, and thirds are almost dissonant.
I don't think anyone who has even the first idea about this has ever suggested that harmonic tunings are a goal, an ideal, or even a practical possibility. (See also, Pythagorean Comma.)