I understand where you're coming from. Note that I said "quality publications," which is defined by Nature as papers published in world-leading and quality science journals. So there is no ambiguity and no real dispute about my statement. Read the Nature Index explanations.
I also understand there is this instinct, if subconsciously, that anything China produces are of low quality, and if China leads in anything, it must be first and foremost in quantity, but not necessarily in quality. This is so wrong, so out of step with reality, in so many ways and in so many areas.
If you want to quip about the productivity of quality publications, that would be a separate discussion. Harvard is no doubt among the finest research institutions in the world. But it's hard to make apple to apple comparison between CAS and Harvard. CAS is a much larger institution, with very different missions compared to Harvard. There are institutes in CAS which are mostly into academic research such as Institute of High Energy Physics or Institute of Mathematics, but the majority of them are in the applied research business, examples include what we've talked about here at SDF such as research and engineering associated with lithography machine and other semiconductor manufacturing equipment. In fact, the head of CAS made a even more clear commitment to conduct choke-point research within CAS, after the US made further tech sanctions against Chinese companies and institutions last year. Clearly, those research are mostly NOT publication-type academic research.
Despite all the above caveats, if you follow Nature Index over the years, there is a clear trend: that is the singular ascendance of Chinese research quantity and quality. The US still leads, but China is not far behind and is closing the gap rapidly. All other countries are distantly behind. This trend is less known to the general public than, say, the GDP, the auto manufacturing, the trade volumes etc. But it is an extremely important indicator under-girding the rise of China.
For a very informative and interesting presentation on China's achievements and its collaborations with the international research community, watch this video by an education professor from Oxford.