The response you get when you tell people that both the RoC and PRC agree that their is only one China, but disagree on which of them is that China, is always... uh... interesting.
Berlingske [Danish newspaper] has described how taiwanese people in Denmark were previously allowed to register Taiwan as their country of origin.
However around new year, according to Berlingske, the Danish authorities tightened up. It was emphasised that in the future China should be written as the country of origin for the taiwanese.
If that's still the case, then PRC wouldn't feel any urgency regarding Taiwan. But decades of anti-Mainland China public education - which included writing China out of Taiwanese history, so Taiwan seemingly popped out from nowhere as an island that birthed itself LOL - there are fewer and fewer ppl in Taiwan who believe they are Chinese. The current party in power is openly separatist and intensely propagandizes everything anti-China, so even mentioning the ROC as a concept these days has became politically incorrect. If they could change their constitution to cross out ROC and become the Republic of Taiwan instead, they would. But they dare not as yet.
Hence you're seeing things like these where the PRC is stepping up efforts to emphasize everywhere they can, and in all their foreign policy interactions, that Taiwan is part of China etc. Etc.