Dutch ASML is essential to 7nm and smaller processes. US pitched in enormous amounts of cash in very risky R&D for EUV lithography so they have a say in how it’s used but I wouldn’t say they control it entirely.
These things are too risky, complex and expensive for any single country/federation or economic block to be on the cutting edge. It’s entirely possible to pour money for years and come up empty.
EU should pull as many strings as possible to have cutting edge production capacity within own borders in case of emergency but first we’d have to invest heavily in education of engineers and guarantee competitive salaries because it’s incredibly challenging work.
It took Taiwan a generation to accomplish and even now their manufacturing staff is being poached by China because of economic pressures and likely state funded corporate espionage.