"Star Dad" refers to Starbucks. The word comes from the homonym of "Star Dad", which is similar to the name of Starbucks, thus spreading among netizens. Starbucks is very famous in China. Because the founder surnamed Xing, netizens named the brand after Xing.
In addition, some people think that the word appeared because the Starbucks trademark was influenced by the registration of others. In order to protect the brand, Starbucks first registered all similar trademarks, including some homophones such as "Star Dad".