These days people tend to consider such names as alternatives to their birth or registered name. On the internet, it seems common practice for people to use what they consider to be their magickal names as non de plumes instead of revealing their registered names. Exposing a true "magickal" name in such a manner, can actually detract from the very purpose of what such a name is about. An internet non de plume should then be treated just as such – an alternative to one’s registered name.
So before you choose a magickal name, you may wish to give it a bit of thought as to what it actually represents ... and I haven't even discussed the numerological value of names yet :) But that is another article in itself.