"Global prosperity" might be true in a very long-term historical sense, but it's misleading to apply it to the immediate situation.
Taiwan is not just a talking point. Control over Taiwan is critical for maintaining hegemony. When that is no longer assured, there will likely be a bloody battle before China is given the free reign that it desires.
WWIII is likely to fully break out within the next 3-30 years. We don't really have the facilities to imagine what 300 years from now will look like, but it will likely be posthuman.