I got hired at a US legacy last year and came from a carrier based in HKG(Not mainland I know, but similar situation).

The law only requires employers to SEND the pria forms. Whether they get them back is not your future employers responsibility. I brought this up with my current carrier after I was hired and was told that they don't ever expect to get them from foreign carriers. Hong Kong has very sensitive privacy laws, and when my prior company received them, the asked me if I would allow release and I did.

Good luck.