I agree there's no physical evidence; where is the debris, where is the crater? But I could imagine it happening. It's an interesting scenario because it would mean the authorities were taking large risks and provided no compensation to the families; which says a lot about life in Russia.
Also, it's all very well demanding evidence, but the real world isn't like CSI or Miss Marple where everything fits together like a jigsaw puzzle. In a trial you're presented with two seemingly credible versions of events, with conflicting evidence, and ultimately you have to decide who is telling you a pack of lies.
The rocket hypothesis relies on low probability happenstance, but I don't think it's a bad fit in some ways:
- Most of their injuries could be explained by a rocket impact. Nearby explosion, pressure wave, blinding light, etc would be enough to send them fleeing down the hill, the rest was a natural consequence
- Government cover-up, authorities first on scene, high ranking officials being involved, evidence going missing, case being closed down prematurely
- Witnesses seeing lights in the sky. There would be a bright light from the rocket, then multiple lights from helicopters searching for debris, which fits with separate sightings on 02 and 17 Feb.
- Unsubstantiated claim by Bogachev (who worked at a secret research institute) that Dyatlov was known in those circles to be the victim of a spent rocket launcher dropped on the Urals
- Anecdotal stories about large pieces of metal being found on the mountain (one by Mansi), and photos of similar debris being retrieved elsewhere in the Urals
We know Russia carried out regular rocket launches from Kapustin Yar and Baikonur in the South, and their trajectory would be North over Russian territory, roughly in the direction of Dyatlov Pass. Single stage rockets such as the R-12 wouldn't reach the coast. They will have jettisoned stages over the Urals, what other trajectory could they use? Statistically there would be little chance of an incident, but there was always a possibility.
We also know they were testing new SAMs to intercept the U2, at that time.
There are also weaknesses with the hypothesis, like all others. But unlike other scenarios, if it was a rocket we might find out eventually... as more details of tests become declassified over time.