This might be also a part of all this, where Johnson & Johnson fought in court with the American Red Cross over the Red Cross emblem on American Red Cross products: https://www.wipo.int/wipo_magazine/en/2008/05/article_0005.h...

https://www.jnj.com/our-company/youre-doing-what

https://www.reuters.com/article/us-johnsonandjohnson-redcros...