South Korea won't be extinct in 100 years, it's one of the densest country on earth, if its population reduces by 60% in the meantime it will be dense like...Switzerland. Is Switzerland in the state of "functional extinction"? No. (Also, same density as North Korea).
Meanwhile every Indian flees their awesome home country, and no one complains about the emigration and indian population reduction. Maybe because it's also a way for them to fix the selective abortions and widely biased sex ratio that came as a consequence?