This saying has always bothered me, Nietzsche or not.
What doesn't kill you, in the literal sense, can often cripple, maim, or psychologically impair you. It could make you hesitant, lose confidence, or refuse to try again.
Whether it's your life, or your professional career, the "failure or luck against adversity makes you stronger" bit seldom matches reality.
Sorry to take that sidetrack, but it happens to be a saying that I wish would disappear.