All CX S/Os receive a P2X rating for their relative aircraft, whether it is a 400 or a 340.
The P2X rating is not an endorsement, strictly speaking, however it DOES allow logging of hours. That is why the Hong Kong CAD issues a log book to all Hong Kong based employees, whether CX or KA employees, that have a column headed "P2X".
And no, it's nowhere near as bad as you may have heard. It's bloody great actually.