I know nothing of these subjects so I ask: is there any advantage to the typography and scrip system that is simplified Chinese vs a small alphabet a la Latin or Cyrillic?
There are some advantages to Chinese typography over a phoenetic system. Phoenetically written languages like English go from symbols to sounds to meaning. Chinese goes directly from symbols to meaning. Eschewing the sound stage means that as sounds evolve over time, the symbols, whose meanings change on a much slower time scale, are still comprehensible for a long period of time. This means, among other things, that Chinese formal writing is mostly common to all dialects, whereas a pronounciation-based system could only serve a single dialect. For example, in Hong Kong, where Cantonese is the de facto spoken dialect of choice, I, as a Mandarin-only speaker, can still understand all the signage even though I cannot interact with a Cantonese-only speaker. 1000+ year-old texts are reasonably accessible to well-educated high school students.