From reading the first part of Zapper's article, he seems to me to be saying that one should not depend on wikipedia, if one really wants to understand something and be confident about it. Even though I do consult wikipedia at times for a quick version of something, I tend to agree, and think his warning is an important one for learners.
As an example of mine, I once edited the article on wiki for the Riemann - Roch theorem, especially for curves, and some generalizations. I am not an expert, since I have done no research on this subject, but its use figured in my research almost every day for some 40 years, and I have studied it in primary sources and authoritative texts by experts such as: Riemann (the original preliminary source), Roch (the second and final original source), Weyl, Siegel, Gunning, Mumford, Walker, Fulton, Hartshorne (I also audited his course about 1967), Arbarello, Cornalba, P.A. Griffiths, Hormander, Springer, Seidenberg, J. Harris, Miranda, Mayer, Mattuck, Atiyah, Chern, Hirzebruch, Kodaira, Serre, Zariski (I also heard him lecture on it in about 1966), Van der Waerden, Lang, Macdonald, Chevalley, Beauvile, Kempf,... I also spent part of one summer writing a set of notes on the theorem and posted them on my website.
(I have not however studied perhaps the most significant work generalizing this theorem in the last 60 years, the work of Grothendieck, exposed by Borel and Serre in 1958.)
After all these years of studying secondary sources, following courses, teaching and using the result in my research, and writing it up, I only felt I really understood the theorem when an English language version of Riemann’s collected works became available in the last decade, and I studied the original articles closely, after being chosen by Math Reviews as the official reviewer.
With this insight, I edited the wiki article for the classical case of curves, making a few changes to correct misconceptions that persist among people who have not actually read Riemann’s own account, and a few attempts to render the text more concrete and down to earth. Then I retired from the fray, only to see someone come in almost immediately and remove some of the correct statements I had made, and replace them again with the usual misconceptions and needlessly abstract formulations. What appears there now, much later, is a brief, clear but unmotivated and unsubstantiated standard summary such as one might read in any elementary text or undergraduate thesis, but without proofs. So I definitely would not consult wikipedia for an authoritative account of subjects I already know enough about to write articles on them myself.
On the other hand, when I wanted to know some formulas for volumes of spheres in higher dimensions for a geometry class I was teaching, I found an excellent, clear and comprehensive statement in wikipedia, which I then checked myself by giving proofs of my own devising.
It seems that the wiki articles I have read on subjects that I understand best, are written by students or energetic amateurs who give an account of versions of the material they have read up in standard books. On topics I am not so competent in, I cannot judge whether they are written by experts, but it seldom seems the case when I am able to judge.
So I find wikipedia useful in areas where I am deficient, which is most, to provide brief statements of facts, (not always accurate), but a bit below par in the few areas where I am much more informed than average. Thus I would suggest using it as a sort of Schaums outline series, a source for quick and ready summaries of information, but in cases where one aspires to become expert oneself, I agree one should certainly read instead sources whose authors are known specialists and experts, if not the original source by the discoverer, i.e. primary sources. The danger may be that since one cannot become a scholar by depending on wiki, its overly widespread use may thus lead to a decline in scholarship. Perhaps this is what concerns ZapperZ.
By the way, if you want a good account of the classical Riemann Roch theorem, I recommend the one in the book of Griffiths and Harris, as closest in spirit to the original.