I agree with your point on divide and rule. The problem is exactly what you said. EU is now run by pro-American libs like VDL, staunch protectionists drunk on excess welfare, and frontline states like Baltic three and Poland. Even in Germany, whilst the majourity could support AFD or Christian democrats, it is the pro-American but woke Green Party folks who have final says. In other words, the EU has ALREADY taken side with the US. And then there is ideology. Despite coming from a position of weakness, the EU still insists on spreading its values over others. So clearly the 大字报 message coming from Brussels to Beijing is “nope, we are not friends, and we have no desire to be buddies, AND stop exporting your superior but cheaper goods because our lazy arse workers don’t want to compete with yours.” So Beijing’s attempt to cozy up with the EU would likely be futile with some exceptions like Hungary and Slovakia. But these two countries are voiceless and are simply too dependent to its neighbours.