By that logic the Toyotas and Volkswagens sold in the US are American cars. Or the iPhone is a Chinese phone. While the place of manufacturing is interesting, it's not what people usually mean when they talk about the author's origin.
There is value in easily learning that the majority of Toyotas sold in the US are American cars, that almost all computers (desktops, laptops, smartphones, tablets) are Chinese or Taiwanese, and so on.
When taking into account that Toyota and Honda manufacture their cars here, it becomes clear the argument is not for the benefit of the working class but for the owning class (c-suite and shareholders).