There is no such thing as a Category A AME.
This is my understanding of the key difference between AME and LAME:
If you don't have a CASA Licence (Category A,B1,B2,C) then you are an AME (Aircraft Maintenance Engineer)
When you have met CASA's requirements and are issued with a CASA Licence (Category A,B1,B2,C), you then become a LAME (Licenced Aircraft Maintenance Engineer).
ALAEA covers LAME's. AMWU/AWU/CEPU covers AME's.
If you have a Licence, you're a LAME.
If you don't have a Licence, you're an AME.
Seems quite clear to me. What do you think?
Well Said!