Earlier quoted context omitted.
No. That completely misrepresents the problem. tl;dr A false technique can be described and it can be hard or impossible to detect the technique is flawed by using it For example the paper at http://www.jstor.org/stable/222500 describes a method of using the stationary bootstrap to eliminate data snooping bias in studies of "technical analysis" in finance. Published in the Journal of Finance in 1999 at the time I wor…
Which exactly proof are you talking about? I briefly looked at the paper (I've seen it before, but it's been quite a while...), but it seems that they pretty much use a previously known approach, and the only proof in it is simply "replicated for convenience of the reader". Also, this would certainly be neither the first nor the last paper that ignores transaction costs, and their omission does not really invalidate…
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.