The fact that the Sheng and later ideographs, pictoglyphs and hieroglyphic sets incorporated pre-existing shamanistic symbols, or grave identifiers (to be talked about later), or totems ~ does not mean that those earlier symbols were part of an organized system of writing.
The Chinese make a lot of noise but they have yet to PROVE anything.
We can go back 5300 years quite easily to see that the Sumerians had an actual writing system ~ already developed ~ and we can go back another 5,000 years to trace in great detail how that system grew. That's back to the end, more or less, of the Younger Dryas. The Chinese had not yet developed a satisfactory mudhut at that time.
Sheng provides a character set comparable to the earliest materials written by the Sumerians ~ and uses the same characters in the same groupings ~ which is kind of a giveaway. Egyptian hieroglyphs and earlier pictoglyphs follow on Sumerian work.
There is very little real evidence either way. It is possible the Chinese got the “idea” of writing from western Asia, and it is equally possible they came up with it independently. It seems to pop up whenever civilizations become sufficiently complex that record keeping becomes critical.
One possible exception is the Andean civilizations, which may actually be as old or even older than Sumer in the building of “cities.” If the quipu isn’t writing, they apparently never developed it at all, despite apparent trading contacts with Meso-America, which definitely did have writing.