The "official" answer to your question probably lies in ITU-T Q.731 part 4.5.2.3.2.
Depending on bilateral agreement, the originating network may restrict the information conveyed in the generic number and/or calling party number parameter(s) from being sent to the destination network when the CLIR supplementary service is applicable.
The first few words "Depending on bilateral agreement" being the most important ones to remember, which is another way of putting what Jofm5 kindly pointed out.