I thought the miracle of Apu-Punchao involved the intervention of Tzadkiel and/or the Hierodules on Severian's behalf.
IIRC there were a number of hints that the Claw of the Conciliator manipulated time; i.e. it was a sort of compact "time machine". When it healed or raised the dead, it returned the the person's tissues to a time before they were injured. I suppose the light it emitted was a by-product of Doing the Time Warp Again.
I guess the Claw would be another of the kinds of 'magic' to which Stonemaybe might object, as Sev couldn't seem to control it voluntarily.
The mirror teleportation techniques used by Father Inire (and Tzadkiel's Ship? and Hethor?) was another odd and subtle techno-magic I found intriguing in BoNS.
However, in Wolfe one can never rule out the possibility that something alive, or even some manifestation of divinity, might succeed in expressing itself thru 'tech.' That sort of phenomenon is a frequent theme in his work.
Speaking of Tolkien, I always did figure that such talismans as Feanor's products for better living, such as the palantiri and the Silmarils, actually could be considered some sort of ultrasubtle Clarkeian 'tech.' Even the Rings of Power seemed to be a sort of tech, even if they were powered by an infusion of Sauron's personal spirit essence. The Ruling Ring could be considered a kind of entheal technology capable of containing part of one of the Ainur.
Of course, magic that occurs essentially in a dream, e.g.
the Matrix, could be considered 'cheating.' Presumably anything is possible in a dream, though one might not be incontrol of it. Here's another possible objection to
Covenant, if you wish to grab that particular horn of the fundamental paradox.
Sometime back I started reading Jack Vance's
The Dying Earth a little at a time. It seems to me that Vance's magic is supposed to be a very ancient discovery, solution, and and implementation of the ultimate unified field equations, whatever they turn out to be, such that in the latter days mastery of some part of this barely-understood lore makes one a powerful magician able to perform feats by manipulating spacetime. By the time of the stories, the unified field equations are remembered by the inhabitants as mostly 'canned' spells for such particular purposes as conjuring someone away, or inflicting a "dismal itch."
dlbpharmd wrote:Hell, it's even worse when you consider the magic of white gold. Apparently, its ONLY manifestation is white flame.
There was also an element of telekinesis (for lack of a better word) with wild magic. Instances where Covenant broke the bonds of Foamfollower in TPTP or Brinn in TWL come to mind.
So Covenant is actually a kind of Green Lantern?
The Argent Lantern!
Of course, uncontrolled, wild, random energy would be expected to be essentially destructive and dissipative.
It is said with some truth that there is no progress without loss; and it is always said, by those who wish to destroy good things, that progress requires it. No great insight or experience of the world is necessary to see that such people really care nothing for progress. They wish to destroy for their profit, and they, being clever, try to persuade us that progress and change are synonymous.
- Gene Wolfe
TC included) where an author imbues a character with magic that is almost impossible to use - or only can be used at times of great stress. Brook's Shannara books would be a big one here. Also Belgariad.
). And now that I think of it, it had a distinctly "Donaldsonian" feel to it, unlike the usual easy read fantasy fare of Weiss & Hickman. It was distinctly darker, and Joram is in effect an anti-hero. (Actually, the series by Weiss alone, Star of the Guardians, is also notably darker than their combination writing. )
)...I just eventually lose focus because of too many magic layerings... 
But the idea was there.