Your take is also a bad one. No what asml builds is not American technology. Why asml succeeded is because they got tons of company’s and people to help them advance the technology of the chip industry. Yes it wouldn’t be possible without the Americans. But it would also not be possible without the Europeans, the Koreans, etc… what asml did was basically ask the technology leaders in each field to build their best product so that they can take their parts and assembly this awesome piece of technology.