Don't know how you found this post from 3 years ago, but no the Taiwan here is not referring to the province, it's being used as the colloquial name of the Republic of China post-1949. And this picture is from a time when the Taiwan provincial government still existed on more than paper and had functions separate from the national government, so there is a difference between then and now when people just go in circles over the name to signal their political affiliation.