The Order of the BDAs should not matter because every class is only supposed to show up in one archive
If a bean class is deployed in two different bean archives, non-portable behavior results. Portable applications must deploy each bean class in no more than one bean archive. - CDI Spec
I recently had a PMR in which a customer's application broke that rule and when they did the order Liberty/Websphere searches the BDAs became relevant.
This information is avaialble in Liberty trace but not in the CDI introspector.