Wouldn't that depend on where the Chinese army was being faced?
So we know the US has limited will to engage in conflicts that represent no significant threat to the US and involve no significant US interests. Why would the Russians, Chinese, or anyone else assume that the reaction would be the same if core interests were involved?
9/11 brought a fairly vigorous response (chaotic, incoherent, and largely unproductive, but vigorous) and would suggest to most that while you can easily mess with Americans in peripheral areas where they have little reason to be concerned, an attack on the core is likely to generate an aggressive response. Ken has commented in the past that the US rarely gets serious about foreign affairs until there's a broad perception of immediate threat, and I suspect he's right.
We won't know that until there's an existential threat on the table. As of now there isn't one. Death by a thousand cuts sounds rather miserable, but so far the US isn't being cut.
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