Well, yes, I actually will. The thing is, I desire treatments that actually work, so I care whether a given treatment has been shown to be effective or ineffective. In the case of acupuncture, it's been thoroughly demonstrated to be no more effective than a placebo.
If I were sufficiently desperate, I might be inclined to try treatments that hadn't been thoroughly tested. That doesn't mean I'd try things that have been conclusively shown to not work, especially when those things have absolutely no plausible mechanism of action.