The most essential power of any individuals, organization, industries, churches, government, and nations is truly rely on the wings and Caprices of economic power.
I agree with your initial statement, so I paid attention to it.
To support your argument even further, I will point out that without economic power, which is the foundation upon which political power is formed, it will be challenging for individuals, groups, businesses, governments, and entire countries to achieve any worthwhile aims and objectives.
Consider for a moment that during the COVID-19 era, the nations who suffered the most in terms of being able to offer relief supplies and palliatives for their inhabitants were those that lacked the economic might of their governments.
You can understand thus why I concur with the OP's first premise.
A country who will be economically strength, he also be strength from all aspects . Those countries that are financially prosperous have leadership in technology, industry, business and world politics. The point you mentioned is that all the countries that were economically strong during covid19 got the vaccine on time. Countries that are relatively financially weak have received it later. In each case the economy has an effect. However, to develop a country economically, it has to develop in many areas, the most important of which is business. Those who are able to expand their business quickly will achieve economic prosperity quickly. It can be same at domestic or international level.