Simply put, commercial medical insurance belongs to commercial health insurance. Health insurance has a wider scope! Health insurance is an insurance that takes the insured's body as the insurance object, so that the insured can get compensation for the expenses or losses caused by illness or accident. According to the classification of insurance liability, health insurance is divided into medical insurance, sickness insurance (including serious illness insurance), disability income loss insurance and nursing insurance. At present, critical illness insurance and medical insurance are popular commercial health insurance in China. The combination of critical illness insurance and medical insurance can deal with the risk of major diseases well!
Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.