Why can't China choose to intervene in Syria? What are the drawbacks of getting involved in a potential backing of Bashar Al-Assad, considering that there have been Chinese investments and relationships being built in that already war-torn country? If Assad gets potentially toppled, then it'll likely become a safe haven for Uyghur separatists and a base camp for other extremists that could jeopardize China's economic goals and ambitions in the greater Middle East.
Is China just going to let its neighbors dictate the events around its area of interest as each of its pseudo-allies and partners fall by the wayside?
If the People's Liberation Army (PLA) was ever interested in honing and flexing its military muscle to hone and flex its military muscle, and to address its relative lack of combat experience, the possible intervention in Syria against terrorist elements with great power support would do just that. Plus, it would show the world that China can and will act in the interests that align with the will and call from global south countries. Not to mention that such action can have the added benefit of warning other powers that still underestimate China's military capabilities within its periphery (India, Philippines, Vietnam, South Korea, Japan) to this day, akin to "kill the chicken to warn the monkey."
In my view, China should and must become that voice and not just keep spewing "peaceful rise" while its interests and the world are being turned asunder.