Go buy a car, a computer, a robotic device, a heavy duty machine used for mining, a stereo system, a helicopter, a space shuttle, an air compressor, a table saw, a construction crane or anything else, and you will find that that most of the highest quality products were first invented in the United States or Japan, and traditionally these countries have been very libertarian/capitalist.What measures and figures do you use to show the level of scientific progress and innovation by country? What measures and figures do you use to decide the socialist or capitalist political leaning by country? Lastly, assuming there is a correlation in that data that might allow support for your "thought experiment", what is the proof that there is a direct causal link between these factors?
The reason why these countries are more favorable to economic growth is that the government is traditionally conservative and allows the free market to privatize as many services as possible as a means to keep taxes very low. True Capitalist societies also tend to remove all capital gains taxes from businesses as well. And Low taxes equals more profits for business, and more disposable income for individuals, which means more money is invested back into businesses for R&D in science/tech.
Countries that are too liberal/socialist tend to overwhelm the free market with too many unnecessary government controlled services, too many regulations, too many hurtles for new businesses, which means less competition, and it is more difficult for companies to grow and turn a profit, as they have to pay out so much in taxes, annual fees, and they are far too regulated…
Think about this - The two biggest economic sectors in Canada are exporting raw materials to the US and government agencies….hmmm….where have all the Canadian fortune 500 companies gone? In our free healthcare system?… you be the judge....