They are all genuine.
They are different products produced by two companies. Badongxun is a medical device of Guangzhou Hexi Fine Chemical Co., Ltd. "Medical Cold Compress (Guangdong and Suizhou Equipment No. 20192001)" is a type of medical device registered with the Municipal Supervision Bureau, while Dongbaxun is a very small company, listed on Baidu It is meant for hospitals only and cannot be purchased online.
The business scope of Badongxun Company includes wholesale of cosmetics and sanitary products, retail of cosmetics and sanitary products, and cosmetics manufacturing. Manufacturing of other synthetic materials (except monitoring chemicals and hazardous chemicals), biotechnology promotion services, biotechnology development services, biotechnology consulting, communication services, etc.