It isn't a placebo if he never had an expectation of it working prior to entering. Placebo would be having him now go to another "Acupuncturist" who doesn't actually stick him with any needles.
However if something like acupuncture or faith healing does work for someone, with little understanding of why, it can still be dangerous to them. For instance, take the guy who had a sprained foot, let's say that acupuncture just treats the pain, somehow blocks a pain receptor so that he can walk out fine. He thinks he's fine, but what he doesn't realize is his sprain was really a break that wasn't properly diagnosed and now it is going to heal terribly wrong. You have to be very careful treating a 'symptom' without treating the 'cause'.
With Aphex's issue, he has a very valid way of testing his issue. If his throat doesn't swell up, eyes water, or whatever, then it is resolved. He should probably try dropping the acupuncture just to see what happens. If all he is going for is the relaxation at this point, maybe a massage would be money better spent.