I would call it a press sheet. But even though that would show what CMYK looks like on your special paper, there are so many variables (dirty press, ink gain, sloppy work) that could change the color on your job.
Really, it's up to them to match your color (as long as you've used real cmyk values/pantone book and not just gone by your screen looking pretty). Get a Matchprint or Polaproof of your job, and the printed job should match it very closely. If it doesn't, bounce it. It's hard to do a press check in China (would your company pay? s\/\/e3t!) but there are ways via FedEx.
However, if the colors of your pix look bad on the Match/Pola, be assured they will look that way printed and it won't be the printer's fault.