Considering the DC universe established abrahamic mythology is canon and in that thing the first humans were made from clay given life by that god, I don't see how the origin makes Wonder Woman much different from the average joe.
And arguing her use of magical items as a case for her to be magic itself would mean Perseus would have as strong a case if not stronger since he had more magical items on his little adventure.
Ultimately, there are just to many other characters who have a stronger case to being the champion of magic in the DC universe.
Doctor Fate is a god using a human body as a conduit and is repeatedly referred to as the most powerful magic wielder in the world.
Captain Marvel was imbued with the power of five gods by a magical wizard whose declared that Billy will take his place as the Earths mightiest mortal and is explicitly referred to as the champion of magic on multiple occasions.
Zatanna whose probably the most active and prolific superhero magic user.
And even Constantine whose basically magic Batman.
As for magic in the DC universe in general, its a huge mess and frankly its impossible to reconcile it and make it all jive together.
You have 'magic is the stuff of dreams' power of imagination stuff.
You have 'gift of the gods' stuff.
You have 'Like science, magic is powered by faith' stuff.
You have 'magic is a force permeating the universe and is the stuff of life' stuff.
Writers have established science and magic in the DC universe are so interwoven that they can influence one enough, change from one to the other, and can even be combined. Tyrions making a noble effort to try and retcon all magic in DC comics to all function under Vertigo rules and be the dark and horrific stuff of nightmares, but meanwhile we have several other books out right now with a magic focus which don't at all jive with what Justice League Dark is trying to present.