Taiwan publicized reports that China was pushing for its dream of reunification through many venues and in many nations. The fact that China works so diligently through aggressive diplomacy further indicates that the "military option" being less than preferable with North Korea carries some continuity with China's policy concerning Taiwan. That's not to say it is beyond Beijing to decide to strike Taiwan, only that it would demonstrate that China had exhausted other methods it preferred in its determination.
Military deescalation is not out of character with China. Chinese troops were friendly with the defense minister from India in her recent visit to the disputed area. Late August, China halted building the road that India objected to in a way that saved face for China, but also appeased India for the time. This doesn't indicate any change of heart nor indicate that China is not relentless, but the Asian culture of "preferring smoothness" in disputes seems to be holding true with non-volatile land on which China hopes to fly its flag.
Trump's resolve and openness, however, are a contrast to China's. In his "only one thing will work" comment this week, the US president is not afraid to use a military option to bring peace to a region if that region is arming up and dangerous. If the US wins in a conflict with North Korea, the US flag would not fly as the authority on that soil.
China is preparing for a routine leadership review. Much of the top brass under Xi Jinping will rotate out, but he himself is not set to retire anytime soon. While there may be some changes in temperature, there will be no change in the speed or direction China has been taking.