It does give some insight into what you seek, at least. For example, “We find that for smallern≲262144, JesseSort is slower than Python’s default sort.”

I’d like to see a much larger n but the charts in the research paper aren’t really selling JesseSort. I think as more and more “sorts” come out, they all get more niche. JesseSort might be good for a particular dataset size and ordering/randomness but from what I see, we shouldn’t be replacing the default Python sorting algorithm.