What is the point of this kind of comparison? It is completely dependent on the 3000 datasets they chose to use. You're not going to find that one method is better than another in-general or find some type of time series for which you can make a specific methodological recommendation (unless that series is specifically constructed with a mathematical feature, like stationarity).

What matters is "which method is better for MY data?" but that's not something an academic can study. You just have a test a few different things.