Not sure about your understanding of the Redl affair.
From "Beyond Nationalism: A Social and Political History of the Habsburg Officer," by Istvan Deak, Professor of History, Columbia University. (Page 145)
"On May 24, 1913, he was finally unmasked, thanks to the vigilance of the intelligence bureau of the German Great General Staff and of the Austrian state police. He killed himself that same night... The order for him to commit suicide actually marked the beginning of a lengthy attempt at obfuscation, in which both Conrad and the emperor were deeply involved. There ensued, nevertheless, a public scandal, which severely damaged the reputation of the general staff, the army, and the monarchy."
Kronenbitter in "War Planning 1914" page 26, is also clear: "...without the helping hand of the German Sektion IIIb, Redl would not have been caught."
And see the full color illustration in the 15 Juin 1913 issue of "Le Petit Journal" depicting the "trahison du Colonel Redl en Autriche, comment le coupable s'est suicide."
Lastly, I have not seen a source saying any part of Redl's passed information included the Schlieffen Plan.