NLP is probably one of the most misunderstood concepts in regards to magic performance. Ever since Derren Brown claimed he used it to achieve his televised stunts and feats, everyone thought NLP was a way to control minds and create extraordinary mentalism. While it can be used accentuate magic, it's really only a way to facilitate natural interaction with people.
NLP can be used to cue an audience to react a certain way or help them feel comfortable with being approached by a stranger to perform. Its a way to develop fluent rapport with audiences. It's a way to read people's ticks and understand why they're behaving the way they do. In this case, the study of NLP would probably benefit card players more than magicians, because anything beyond that is far-fetched and not scientifically validated.
If you're interested in knowing more about mentalism, I cannot recommend Corinda's 13 Steps enough. It's old and dryly written, but it's crazy how relevantly it pertains to today. People are still fooled by the material in that book.
Hope this helps,
RS.