The EUV light source is just one step of the manufacturing process. There's also maintenance, preprod, doping, testing and packaging steps that are all customary to specific fabs and difficult to optimize at-scale. A big part of why Intel wasn't an EUV early adopter was the complexity compared to DUV.

Claiming that America invented modern high-yield EUV in the lab is like saying Germany invented the Ferrari because Italy imported their steel presses to manufacture it. Not only are you being pedantic, you're not using pedantry to make a distinction that anyone will respect. Chipmaking is not a pushbutton process with line-replaceable units. This kind of reductive reasoning is what puts detail-oriented cultures ahead of profit-oriented ones.