The key point (in the end) seems to be that the odds for a streak like Niemann had are about 1 in 80k. Statistically speaking, I'd say that's a long shot from a smoking gun. Here's a good rundown of a case where a cheater is considered to have been exposed by statistical evidence, but those odds were on a completely different scale, 10^22:
Basically the mistake that is easy to make is that we shouldn't ask: "what is the probability that Hans plays five tournaments like that in a row?", but "what is the probability that someone will play five tournaments like that in a row?". Even if we correct for the fact that there are probably more Minecraft speedruns happening than GM tournaments, odds of 80k just seem a bit too low to call it evidence.
https://www.youtube.com/watch?v=8Ko3TdPy0TU
Basically the mistake that is easy to make is that we shouldn't ask: "what is the probability that Hans plays five tournaments like that in a row?", but "what is the probability that someone will play five tournaments like that in a row?". Even if we correct for the fact that there are probably more Minecraft speedruns happening than GM tournaments, odds of 80k just seem a bit too low to call it evidence.