There is such a great amount of mythology surrounding these watches. With each telling, the story grows. The fact is, they were produced to make money. They were never given to soldiers. Imagine if you will, in the 1st Gulf War we had something like 1,000,000 soldiers there. How in the world could 10,000 watches be given to 1,000,00? Seriously, numbers do not lie. Even the Vostok interview (posted here previously) with Vladislav Zivilinin shows the initial 10,000 were followed by 200 and then followed by another 20,000.
Unless classified and protected by a 50-year code of silence, there is no available proof that US government had anything at all to do with these watches.