Strangely, many, perhaps most users of it think it is not a syllabary. This is largely because it is what they were told as children, and it makes little difference in use, within bounds of Mandarin.
People who speak other Chinese languages, which Mandarin speakers are taught to think of as dialects (i.e. basically the same as Mandarin but for variant pronunciation), know better. It is common among Mandarin speakers to believe they can read texts in these other "dialects", not realizing that what they read has been translated to Mandarin. (Writing "in dialect" is done very rarely, except for transcribed loan words, because it is not taught; the elaborate spelling rules for Mandarin would not work, as is.)
The CCP encourages this misapprehension.
I guess that counts.
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"Note that being able to represent any phonetic utterance of a language is the distinguishing characteristic between proto-writing and writing."
Huh... does Chinese meet that criteria? https://en.wikipedia.org/wiki/Logogram#Differences_in_proces...