Comment by tiara_girl

Because the author is one of the only humans who fully understands the O(n log n) algorithm that this o(n log n) result claims to improve on - he is a co-author of the 2019 O(n log n) breakthrough result.

The expansion (on p3) of the statement after which you stopped reading goes on to explain that one of the issues is that these results have not been delivered in a humanly intelligible form. (“… the maths dump does not appear to be strong on exposition”).