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.
The brand mark is a design element, such as a symbol (e.g., Nike swoosh ), logo (e.g., Yahoo! graphic), a character (e.g., Keebler elves) or even a sound (e.g., Intel inside sound), that provides visual or auditory recognition for the product. Cite: Brand Names and Brand Marks (2017).