Originally Posted by pandaperth

CX's responsibility is to protect you from its schedule change, by getting you from HKG to JED. Had you chosen to stopover in DXB, then its responsibility would be to get you from DXB to JED.
So CX could (rightly) refuse to allow a stopover at the intermediate point. But it is free to allow it, if it chooses to be nice to you.

A factor in its decision might be whether you've had your two allowed stopovers in Europe/Middle East (which is your 'continent of origin' right?).