99% (or even 100%) of Derren's tricks are traditional mentalist tricks, he can't *really* do the things he does, but he can 'trick' an audience into thinking he can - and that is the heart of a magic show.
Magicians don't really cut women in half and put them back together - however they can create the illusion they can. Derren can't really tell what hand you have a coin in, or make someone pay up on a losing betting slip, however he can create the illusion that he can!
He doesn't use NLP (it doesn't work) and he doesn't use hypnosis.
Now as for stooges, you need to distinguish between straight plants, ie someone in the audience in collusion with magician and 'instant stooges'. Instant stooges are normal audience members who during the trick are co-opted to the magicians side. In front of a live audience this is risky and needs skill to communicate with the instant stooge.
It's also worth pointing out that Derren makes a lot of use of "Dual Reality" a technique were the audience hears something different from the volunteer or target, again impressive to do on a stage with a live audience, with technology on TV less so.
As for TV edits, whereas the trick itself if pulled off clean, there are clear examples of TV trickery being used as part of his reveals, for example the famous ad-men ride in a taxi, where Derren 'shows' how he influenced them to draw his picture, on careful viewing you can see that the images have been merely cut into the taxi trip. Another example is in Messiah, the so called NLP force ""let some ideas sail into your mind", then the woman drew a boat, however the so caused "forces" have been added in the edit suite.
So to sum it all up, it depends what you mean by 'stooge', and depends on what you think of his use of TV edits, not to achieve the trick but to fool the audience as to how it was done.