That is correct. CX does not hold back award inventory for own members, i.e.. any partner's inventory should be the same as CX's. However:
* Asia Miles members can call to waitlist and some MPC members may be able to call to get seats released. If the CX member does not make any special request, he/she will see the same inventory as any partner's member.
* CX's inventory may not always be correct too. It happened before that it showed availability and allowed the passenger to book, and then ... could not confirm