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Well reasonably that's not true I guess, because theoretically the advantage is normally tiny, and so a tiny advantage would not generally result in significantly less extinction.
But a tiny advantage iterated many millions of times translates into quite a big advantage.
The point that beneficial mutations get wiped out most of the time does not seem to me to challenge natural selection; it seems to elide the sheer scale of the sample size. Both beneficial and deleterious mutations will be wiped out most of the time, but obviously then beneficial mutations will be less pronbe to being wiped out; beucase they have conferred an enhanced survivability, no matter how trivial. We cannot say that agiven mutation will necessarily survive merely becuase it is advantageous; but we can confidently say that over time, advantageous mutations accumulate.