? EUV lithography was an international undertaking, some US research projects sure, but also Japanese (Hiroo Kinoshita, 80's), Russian (Georgiy Vaschenko, who is on all the patents for the 13.5 nm laser used (https://patents.google.com/?inventor=Georgiy+Vaschenko)), Dutch (of course), etc.
It's kind of ironic to think of a company as state controlled by the US given how anti-state-controlled the US can be when it comes to companies. ASML has majority shareholders in US companies like Intel and co, but that doesn't mean the US government has a say in it.
I mean they do because of international politics - just like the Dutch government has a say in things - but still.