WI UN Sec Gen Hammarskjold does not die in a plane crash in 1961?

Prompted by this news article. What if the UN's most independent secretary general had not died in a "mysterious" plane crash over the Congo? What might this mean for the future of the UN? How might the Cuban Missile Crisis play out with Hammarskjold, according to Kennedy "the greatest statesman of the century" still presumably in power?
 
I'm afraid it's likely that the UN becomes more irrelevant as the great powers ignore it sooner.
However, the influence on mid-tier states will probably be significant. It could become a greater peacemaker, when the great power interests aren't at stake.
 
I was thinking that maybe with the UN exercising a bit more clout, the Nonaligned movement would have enough leverage with which to stymie US and Soviet interference/proxy wars in the Third World.
 
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