Medicare is an insurance program. Medical bills are paid from trust funds which those covered have paid into. It serves people over 65 primarily, whatever their income; and serves younger disabled people and dialysis patients. Patients pay part of costs through deductibles for hospital and other costs. Small monthly premiums are required for non-hospital coverage. Medicare is a federal program.
Product branding, on the other hand, is a marketing strategy wherein a business promotes and markets an individual product without the company name being front and center in the advertising campaigns or even on the product labeling.
1 What Is a Branding Slogan?  A business slogan is a short phrase that serves as a very brief representation of a product or company. When written well, a slogan instantly evokes emotions and ideas and associates them with a brand. Good slogans are also easily remembered and can become part of the cultural landscape of a society. Other names for slogans include taglines, straplines, endlines, signatures and sometimes theme lines.