After reading I've been wondering what some of the unique themes are which arise from the author being Chinese. Here's what I've thought of (Spoilers Ahead):
1. Tri-solaran civilization = chinese civilization in many ways:
Unlike say America, where technology has developed constantly, in tri-solaris technology develops only during "stable eras" and stops developing or regresses when too many suns are in the sky, or not enough suns are in the sky. Compare that to chinese history: periods of technology/cultural development interspersed with being conquered by "barbarians" or large civil wars.
Also tri-solarans are a pretty unforgiving culture, in one scene a tri-solaran king casually executes someone for failing to do their duty. Later in the series they import ideas like human rights from Earth.
2. The scene where tri-solaris wipes out the entire earth fleet with technology unknown to Earth seems pretty reminiscent of a lot of instances where one culture armed with a thousand spears meets another armed with a dozen guns. Earth comes into the exchange feeling confident too, perhaps reminiscent of the boxer rebellion.
3. Black and white thinking in the first book (tri solarans are evil vs tri solarans are gods) might be similar to the various ideological movements in china, from the cultural revolution to capitalism today.