Like Zeke, you're again interpreting the variables in a vacuum. An individual section discussing a single indicator does not need to repeat China's GDP or that its workforce is hundreds of millions larger than that of the US. That should be self-evident.
Let me ask you, what do you believe "researchers as a share of total workforce" means? Why do you think it's an important statistic? Does it represent a nation's overall R&D potential or output? Or perhaps does it represent a nation's R&D efficiency?
Why does "researchers as a share of total workforce" matter as a statistic?
I'll give you my answer -- it is important because it is a reflection of the structure of a nation's overall workforce and thus it's overall economy. For example, a nation with 20% of its workforce working in R&D will likely be a "more advanced" economy than a nation with 1% of its workforce working in R&D, regardless of the absolute size of the workforce of each of the two nations.
However, that article is not comparing "how advanced" China's economy is versus the US economy. It is not comparing the structure of the Chinese economy vs the US economy.
It is trying to compare China's R&D output and potential and advancement with that of the US.
For that purpose, looking at "researchers as a share of total workforce" is entirely inappropriate. Instead, the most logical number is instead the absolute number of people working in R&D in each nation, along with various other variables such as the absolute expenditure on R&D.
You're trying to justify two statistics ("researchers as a share of total workforce" and "R&D expenditure as a share of GDP") which are entirely useless and inappropriate for the outcome that you're trying to measure.
They've created unnecessary statistics that are useless for the outcome that they are trying to measure. Instead, they should have stuck with the absolute numbers of China's absolute R&D expenditure vs US absolute R&D expenditure, and the absolute no. of China's R&D workforce vs the absolute no. of US R&D workforce.
Look at the indicator at the center of this debate again. Figure 6: Chinese Researchers as a Share of Total Workforce, Relative to the United States, 2006–2016. If it rises from the present 25% to 50% in 10 years, that is clearly a win for Chinese higher education and potential research output, and would mean China is further catching up to the US in this area.
It doesn't matter to me whether it's a "win" or not for Chinese higher education or potential research output.
What matters to me is whether it's a useful statistic for measuring the outcome we're interested in.
Based on that article and based on what you've written, we are interested in measuring the change of China's research potential over time, relative to that of the US.
For that, we are interested in China's absolute number of researchers over time vs the US's absolute number of researchers over time.
We are not interested in what proportion of their total workforce the researchers make up in each nation, because that doesn't tell us anything about each nation's research potential over time, it only tells us about how the job market and economic structure of each nation is changing over time.
Of course the US is taken a barometer for these variables. It is presumed that the US will consistently be the leading country globally in the near future in sci-tech. It's unlikely that there will be dramatic shifts in either country's position (China vs. US) in terms of GDP, expenditure, workforce, etc.
I don't mind using the US as a barometer and a comparison. I think it's useless, but at least it isn't flawed.
However, I am saying that comparisons with the US (or comparisons with anyone!) that include "as a share of total workforce" or "as a share of total GDP" are misleading and flawed.
Also, I forgot to mention that the analysis accompanying Figure 1 does briefly discuss the absolute figures.
Yes it was mentioned, but not for the relevant part where it wanted to compare R&D expenditure and R&D workforce of China and the US.