It doesn't matter. What matters is the end result. Which is that China is lagging behind and it will cede ground to the US in economic terms.That is a over-simplistic statement and strange conclusion. China was never a big drug maker in normal time, and its export of drug in the world is ignorable. Then over the sudden it is doing a "bad" job in the field that it was never specialized? You can check who is the top drug producers and compare their current vaccine production and export figure than compare them to China, then tell who is doing a bad job compared to how good they should have been. FYI, US was always a top drug maker, in the same way as China being the world factory in other sectors. They are all doing what they are good at.
"relative to size" is another name of "per capital" which is pointless in many ways. If you only acknowledge "per capital" as a benchmark, how about China has equal number of SSN, CVN, ICBM, CO2 emission, Car ownership per capital as the USA? Or that is just crazy by all means?
Per capita SSN, CVN, ICBMS would probably cost China hundreds of billions of dollars. While production capacity for vaccines is at most at high one digits or very low 2 digits billions of dollars. There is no comparison here.
China wanted to be stingy with its money and thats why its production capacity lags behind.
Note that this is only for production, for vaccine development they were very very good, but it seems they dropped the ball here.
Note that the US, despite its shambles of covid containment spent dozen(s) of billions for their vaccines. Why is the US ramping up so much and China cant do even more than it, keeping in mind that China's pop is 4.5 times more than the US