Irreducibility is also enough to call it very bad and should not have been published in that form. They talked a lot about their algorithms, without properly describing them.
Ignoring transaction costs is also enough to call bullshit. It is a mistake that should only be made by rank amateurs, and it is the most common mistake made by amateurs in the Technical Analysis field IMO.
It is a very very bad paper but because it gives a technique that can be used to show that TA is possible it is much beloved by researches in the field.
My own conclusion is that (generally) TA is not possible to do profitably at these time scales.