Maybe and maybe not. They had the capability of designing their own tools. and followed an even bigger one.
To be honest, the U.S. industry in the 1930's was a leading manufacturer of precision equipment and they looked to foreign markets in order to stay solvent because the depression at home was still in full effect.
So there is some merit in the OP about German purchases and there is no doubt that there would have been Russian, Japanese and other nations that had American equipment or tooling in use by the time WWII broke out in the late 30's.
Interestingly enough, in the Tank discussion, one thing that wasn't brought up, was that when Germany started ramping up tank production, the two companies in Germany that could have helped greatly; Ford and Opel (GM) were excluded from the bidding process - the two companies that were experienced in rapid tooling and mass production.
Another example of American influence in foreign markets, the Japanese purchased Douglas DC-3s and licensing in the 30's and this became the L2D "Tabby" manufactured by Nakajima and Showa, complete with the Ha-33 radial engines, which were licensed P&W R-1690 radials.
Going full-circle with the P&W R-1690, it was also manufactured as the BMW132, which powered well over a dozen Luftwaffe aircraft.
Of course, the Soviet's DC-3 (Li-2) was powered by the ASh-62, a licensed Wright R-1820...