Yes capitalism did not make all scientific discoveries but it did use them to make more discoveries at a vastly faster rate.
If you ignore fact that almost all fundamental research was done or paid by goverment. Where is private CERN? Private ISS? Heck, where computers would be if not for brittish, american and soviet state research programs? Even companies like Intel were created by goverment funding.
How many civilian contractors were hired by CERN and others and how many bidders did they take before deciding which to take. Did scientists volunteer or were they paid by grants. Where did the government funding come from? Taxes from citizen’s income. How much of the technology used in these projects was built on tech invented by public/private companies?