The author also says "(...) implementation follows the BLIS design", but then proceeds to compare *only* with OpenBLAS. I'd love to see a more thorough analysis, and using C directly would make it easier to compare multiple BLAS libs.
Look, I'm trying to be charitable to the authors, hard as that might be.
I actually do have that question niggling in the back of my mind when I use something like NumPy. I don't necessarily care exactly _where_ the overhead comes from, I might just be interested whether it's close to ideal or not.
What they are doing here is patting themselves on the back after handicapping the competition. Not to mention that they have given themselves the chance to cherry pick the very best hyperparameters for this particular comparison while BLAS is limited to using heuristics to guess which of their kernels will suit this particular combination of hardware and parameters.
The authors need to be called out for this contrived comparison.