Do you have a citation for that? I thought we still had some greige mills left operating in the U.S., although certainly all too few at this point.
(The textile industry, particularly greige mills, are excellent light industry. The product is not going to be obsoleted, production has little environmental impact, processing can be very highly automated, and we have all of the raw inputs here in abundance. It seems to me the greatest shame that the textile industry would be one of the ones most devastated by the emergence of a totalitarian state as the world's workshop, and highly ironic that we are still a leading producer of the agricultural inputs that are being shipped literally half-way around the world to be processed in mills in Red China --- with the processed products then shipped back to us in the U.S.)
Also, I think it would be less common to have a completely separate spinning operation. Spinning operations are logically located between carding and weaving, though I have seen mills where spinning was not so logically located.
To do your spinning here in the U.S. and then weaving in Red China seems odd. If you were doing weaving (or knitting) in the PRC, it would seem to me to be wiser to just ship raw materials such as cotton over for full processing.