Yes this is very correct indeed, firstly the Wiccan faith predates the Christian one by far and inadvertently allot of the Christian values have been adopted and changed as history as developed. However as Thor has said, the color of your magic is very much dependent upon your initial intention.
Many people go under this basis of thinking, I was certainly one who thought this misconception in my earlier years. However Christians do not practice what they would call magic, not just because it may be attributed to Satanic influences, but more over Christians do not need to engage in magical practices because they already have a set of their own which they already follow.
The bible is in a way like a spell book, a spell is an intention, a wishing something to happen. Spells are not magic, a spell is an attempt to make magic happen. Spells come in many forms; like wishing someone a happy birthday, or when prayers are said in church or when a person sneezes and we say, "bless you".
As long as you have love in your heart, then everything you do will be a genuine intention regardless of what religious doctrine says. However it is also respectful to follow the views of a particular faith, magic is not always about picking up a wand, or even using magical tools to achieve a desired result. Sure these things can help, but the real magic all comes from within you.