Oh this is actually a myth! We know historically that tarot as we know it now developed directly from the Italian card games. Waite even says so himself in that same card description.
It is legitimate–as I have intimated–to use Egyptian symbolism when this serves our purpose, provided that no theory of origin is implied therein.
– The Pictorial Key to the Tarot by A.E. Waite
Tarot, both the game and the divination method we have today, most certainly don’t pre-date Christianity. We know that historically through research and documentation that’s available. The game tarrochi was created in roughly the 15th century. A.E. Waite commissioned Pamela Coleman-Smith to create the original Rider-Waite Smith deck of tarot cards in the 1950s taking inspiration from Egyptian mythology and symbols as well as Jewish mysticism, if I remember correctly.
Traditional magic isn’t Satanic in the way that many people think. It doesn’t really have much to do with The Devil from Christianity, either. Let me grab a book really quick that I have that gives a better explanation. This is from the book A Broom at Midnight by Roger J. Horne and it details different methods of spirit flight, mostly centered around European folklore and folk magic.
The charms represented in this work call upon the Devil unapologetically and allude to saints and adaptations of the Latin language of the church. The presence of “sains” and “paternosters” will not bother those of us familiar with folk craft, particularly Scottish witchery, but for those coming to these words from a New Age perspective, it is wise to remember that the ancestors of modern folk witch traditions are those cunning crafters, wise women, charmers, and fairy doctors of old who adapted and appropriated Christian liturgy for their own purposes, both benevolent and malevolent. These liturgical threads are authentic, and though they are not present in all of the charms here, the idea of washing them away entirely pains me.
Similarly, some may be uncomfortable with the degree to which this book calls on the Devil, the Man in Black, and even explores the symbolism of Lucifer himself. There is no white-washing, no erasing, no tiptoeing around the plain fact that those charmers of old who have bequeathed their craft to us called upon dark and dreadful entities from the abyss. These operations are recorded in lore and in the multitude of grimoires circulating in the medieval and early modern periods. It is important, however, to note that the Devil of many folk charms is not quite the same as the Devil of modern Christianity; they are in many facets divergent figures. One an ancestor, Old One, trickster, and master of hidden art, emblematic of the first practitioners of our craft, and the other a two-dimensional character who is merely a distorted mirror image of the Christian deity.
I hope that explanation from Roger J. Horne helps to explain the point I was trying to make 
old European folk magic definitely calls on the Devil and explores the darker aspects of life simply because they had to. They took the image of the Devil from Christianity and used it to suit their own needs outside of Christianity.
I think what they meant by there be no “white magic” is that magic sorted into colors didn’t really exist until the New Age movement and modern practices. I can’t speak to what is traditional because that’s going to depend entirely on the location and tradition of witchcraft. But pure witchcraft? That doesn’t sound like a thing that exists 
