Dear Peter, The answer to your question is no.I do not think you have made a case.The best case scenario that you present is your opinion of a lack of evidence in A.E. Bye's sources he quoted.
You have not shown one shred of valid evidence in refuting his sources besides your own opinion as a researcher.
If you said for instance, such and such resource directly refutes this and that resource which can be found at sew and sew location, then perhaps there would be a case to examine.
What you are writing is not backed by any evidence that anyone could possibly review, and when asked to cite evidence, you muddy the water and write more conjecture based on your own opinion, then say you did not know it was customary to provide proof before being asked for it.
One thing is for sure, if I had researched the actual study notes on a genealogical work and found premise that would discredit and cast doubt on the work, I would most certainly cite the resource, quote directly from said resource, then show the error or the intentional misgiving.
That is my own approach to such matters, as would be the approach of most serious researchers.
From what I understand A.E. Bye had some quite honorable credentials including being a professor if I remember correctly. I also believe some of his books are used in several fields of research that have nothing to do with Genealogy.
It is a shame to announce a man of such accomplishment as an outright fraud without evidence, that is really nothing but harmful slander when you consider the magnitude of his overall works.