Nuclear winter a myth?

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I've read and heard a lot about nuclear winters as a result of a nuclear war. For those of you not familair with the concept, many people have predicted that the detonation of many nuclear weapons in a nuclear war could throw enough sut and debris into the air to dim the sun significantly, which would have severe negative effects on the Earth's biosphere.

A recent study from 2006 asserted "With the exchange of 100 15-kiloton weapons as posed in this scenario, the estimated quantities of smoke generated could lead to global climate anomalies exceeding any changes experienced in recorded history," Robock said. "And that's just 0.03 percent of the total explosive power of the current world nuclear arsenal." That's a total yield of 1,500 kt

Yet it seems there is plenty of direct experimental evidence to the contrary. Since 1945 over 2,000 nuclear weapons have been detonated. In 1958 alone there were 140 atmospheric nuclear weapons tests, with a total yield of around 750,000 kt, many single bombs larger than all of those 50 bombs put together. The Tsar bomba, the largest bomb ever detonated, was over 35 times bigger than all of the bombs mentioned in that test combined.

So is the idea of nuclear winter a greatly exaggerated? Perhaps if the USA and Russia both loaded their entire arsenals onto each other.

My only other conclusion is that global warming is a result of the partial test ban treaty.