If CX Award Availability is shown via the [Awards/JL-OneWorld] Method, then an Award seat can, most definitely, be booked using AADV miles, subject only to the competency of the Agent.
It has certainly been documented and tested on other threads that JL can give different results depending on whether the JMB account is registered in the Americas, Europe and Oceania zones etc. In what sense then can you be 'most definite' about it?