Idk about bloodletting, but Acupuncture and most if not all of TCM in general is frowned upon not because it lacks modern theory on why it works. These things are frowned upon because evidence suggests its all placebo effect and not medicine.
I guess you haven't read any of the studies of Acupuncture. The World Health Organization endorses Acupuncture, and there are decades of studies showing how Acupuncture is effective for particular problems. Some insurance companies even cover it. Similarly, it was just a few decades ago that it was illegal to practice Chiropractic, and many Chiropractors were imprisoned for practicing medicine without a license - but people slowly realized that it helps for some things. The same thing is true for Acupuncture.
I did say it had a placebo effect and yes placebos are "effective for particular problems". Other than that the science isn't as solid as you seem to think it is.. the same is true of chiropractic "medicine", homeopathy and vision quest duck rubbing.
That "critical review" says: "The best current evidence suggests that it is effective as a symptomatic treatment of dental pain, fibromyalgia, nausea/vomiting, knee osteoarthritis, insomnia, epicondylitis, chronic back pain, idiopathic headache, resolution of breech presentation and as an aid during gastrointestinal endoscopy" and then goes on to say that it may all be placebo effect. So the "critical review" is clearly intent on being critical. I trust that most people will have the judgment to read this "critical review" for what it is.
Yes, and I hope people read the study better than you did. It highlights how that list of false positives you listed is due to lack of controls in their trials.