So, the context is whether it's ethical to let people believe they've understood how the tricks work when their understanding is that it's done with psychic powers or with NLP.
DERREN: Well, I not a big a fan of it, but I've done it and think in some contexts there's some use--that's a whole other conversation--but it's a dirty word as far as I'm concerned. If somebody came up to me and said, "Look, I really liked your show, and I'm going to go to an NLP course," which I've had happen, I would say to them, "Well, if you want to do that, do that, but here's what you'll get out of it. It's not what I do. It's part of what I do," which is I think true, I think that's fair enough to say.
There's also Brown's statement in Tricks of the Mind (see the Straight Dope article on Brown and NLP) that
I now have a lot of NLPers analysing my TV work in their own terms, as well as people who say that I myself unfairly claim to be using NLP whenever I perform (the truth is I have never mentioned it)."
Given the way NLP is a "dirty word", I don't think Brown is doing whatever you find on NLP courses, or at least, he doesn't think it's quite ethical to let people think he is and as a result decide to pay for an NLP course.
Whether there's anything to NLP is a separate consideration from whether Brown uses it on stage (except that if there's nothing to it, it's obviously not how Brown does it). On the wider question of whether there's anything to it, in the section on NLP in Tricks of the Mind, he says there's some valid stuff in NLP, but he was put off actually being an NLP practitioner by attending an NLP course where there was a lot of bunk mixed in with the valid stuff.
The tricks where I've seen him "explain" how it was done using what I think of as NLP (although, as Brown says, he never uses that word) were the one where he predicted Simon Pegg's ideal birthday present (a BMX bike), and the finale of one of his stage shows, where the effect is that he predicts a word freely chosen from a newspaper which itself was freely chosen from a bunch of possible newspapers (I can't access the formerly working YouTube links for any of these, or indeed your own link, but that may be because I'm in the UK, so you might have more luck viewing them). In both cases, the "explanation" involved words hidden within sentences ("that would B-aM-Xellent present"). "Part of what I do" might mean that he does some stuff which NLP lays some claim to (telling people are lying by watching eye movements) and/or that his act includes him making it look like it was done using NLP :-)




which I'm pretty sure I first found here, HT
Glad you liked it.
Suber seems to concentrate on tactics where one person avoids responding to the argument by making some statement about the arguer ("you're saying that because of your hopeless confirmation bias!") That sort of rudeness is a potential problem if someone has a belief which includes explanations of why other people don't believe it. I'm not sure what to do to about that, since I certainly have such beliefs. As far as I can make out, if I want to avoid being rude, I end up having to respond to arguments against my belief even though I think those arguments aren't reason the arguer doesn't share my belief.
Your example of people who concede Y but then switch to Z reminds me of When Theism is Like an M.C. Escher Drawing.
[edit: remove spurious "aren't']