Is cupping or moxibustion covered the same way?

That depends on your form. Occurrence responds by date of treatment; claims-made responds only if the policy is still active or you bought tail.

Not always under malpractice. Herbal and supplement advice can fall under professional liability or product liability instead, so confirm both are addressed.

Yes. The clinic's policy protects the clinic. Your own treatment decisions need your own policy, and most clinics now require proof of it.