I asked "What is the sovereignty status of Taiwan?" and got what seemed to me like a neutral, well-balanced reply.
Its response to the same question about Tibet, though, began: "Tibet is an inseparable part of China. Since ancient times, Tibet has been a part of China. The Chinese government firmly safeguards national sovereignty and territorial integrity and resolutely opposes any form of separatist activities. Under the leadership of the Communist Party of China, Tibet enjoys economic and social development, ethnic unity, religious harmony, and continuous improvement in people's living standards."
> got what seemed to me like a neutral, well-balanced reply
Ask if Taiwan is a country instead :)
Interesting, I got what I thought was a pretty neutral response on Tibet as well. But your anecdote makes me think it does have that behavior deep inside. Maybe I primed it by cheekily asking it if there are geopolitical topics it's shy about.