all of this Chinese vs Taiwanese sensitivities is from psychological complexes.
Chinese have an inferiority complex from the years of foreign domination. They look at the Taiwan situation from a pure racial disgrace stand point. meaning they see Taiwan’s separation from China as a consequence of foreign manipulation and Chinese weakness of yesteryears. Therefore, at every opportunity, including this thread about a basketball breakout, they will try to squish down anything that potentially point to the separateness of the two countries.
Taiwanese also have a complex. Because of constant Chinese pressure in regard to Taiwanese sovereignty, Taiwanese tend to guard against any possible infringement of that sovereignty, down to getting mad if someone call them Chinese instead of Taiwanese.
My take on this is when China finally grow up as a nation (it is in its teenager phase with its rapid development), hopefully its citizens will be more mature and shed their inferiority complex. if a group of people feel confident, they would not be so reliant on delusional claims on other people’s country. Then the Taiwanese complex would go away as well.
If the two countries have normal relations as fellow ethnic brother nations, then I do not see how there would be any barriers to the type of pan-ethnic Chinese love fest flu was hoping for.