Good write up. However, it appears to be based on an underlying and unfortunate stereotypical assumption that the Chinese are dumb and incompetent, that they have no intelligence apparatus to know what exactly is going on in Taiwan or with Taiwan and Singapore, the US or other countries. These are the same stereotypical assumptions the British empire held about the Japanese before they were trashed to bits by them (the Japanese).
Through HUMINT (its agents posing as businessmen, journalists, etc) in Singapore, Taiwan and other countries, as well as other forms of intelligence gathering, China's intelligence and security apparatus, the Ministry of State Security, knows exactly what is going on in Taiwan, the number of Singaporean/foreign troops, equipment, frequency, type of training, etc.
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