The only large countries that did better were the UK and US due to banning the export of vaccines. It's mainly the UK trying to spin this as a propaganda win after BREXIT.
Russia had vacation faster, China as well.
Von der Leyen even said so herself, and she still believes it was the right thing to do to stifle the big countries in order to maintain the EU.
What if some US state with most of the vaccine manufacturing had stopped the export of vaccine over state borders? Would that be fine by you because it's in their self interest?
No, they did not. Here's a site where you can see the share of people vaccinated against COVID-19: https://ourworldindata.org/covid-vaccinations
... Wait, what makes you think that? Per OurWorldInData, except for a brief period in early January, EU total doses per capita have always been ahead of Russia and China, until June, when China drew ahead (Russia is still _far_ behind). And even then, that wasn't supply-driven; if you consider EU countries with high vaccine acceptance (Ireland, Germany, Denmark etc), those are still ahead of China; China overtook the EU as a whole due to vaccine reluctance in parts of the EU.
Normal, with 27 participants all responding to different national and political interests. Try having a flatshare with 27 families and agreeing on how to paint the wall.