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All writing forms on Earth appear to derive in one way or the other from the original discoveries in Mesopotamia.

Well, no.

It is debated whether the Chinese system had any input from the Middle East. There seems to be no direct descent, but it is possible the idea of writing made its way across Asia, but the Chinese writing goes WAY back, 4000 to 6000 years, so far that it is doubtful there was any connection across such a huge distance. Also the very ideas behind Chinese writing are completely different from those of Asia further west. More likely a completely independent invention.

It is almost certain the Meso-American writing systems of the Maya, Olmec, etc. were invented independently, and the textile-based quipu record-keeping of the Andean civilizations may just possibly have qualified as true "writing" if we could figure it out. If so, it would be a 4th independent invention of writing.

The Chinese Sheng Dynasty characters DO NOT GO FURTHER BACK than Sumerian stylized hieroglyphics.

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.

Regarding the Maya writing system, it was a syllabary. It was devised about the same time as the first primitive syllabary was devised in SW Japan in the Ya-Yoi principalities (pre-AD). More recent archaeology demonstrates that there's been a regular flow of Japanese cultural residents to South America, Central America and North America for thousands of years.

There are 4 major syllabaries. They are Korean (1300-1500 development stage), Japanese (stretches out of hundreds of years and begins in Asia), Mayan (probably also created by the same folks), and Cherokee (attributed to Sequoia but there are similar materials predating it among the same language group).

Students of Sumerian make a claim that even all American writing systems clearly derive from the systemS developed first in Sumer.