Hi,
Yes it is correct that it is not a Oneworld entitlement. However, it really depends on the check-in agent. I had a few times as an AAdvantage Emerald waived the rule when flying in Economy with CX. However the agent always gives me a warning that this is just an exception. The same holds for BA.
The same applies also to getting a priority tag.
Himeno: Yours is based on flying in ClubWorld rather than your status.
Cheers!