If you've visited flight schools at the various GAAP airports in the last few years, you'll find lots of student pilots from Asian countries doing the Australian CPL and IR. This includes pilots from India, China, Indonesia, Malaysia; even Air Asia send some of their cadets to Australia and trains them for the Australian license. So whoever told you that JAA is widely accepted in Asian countries is telling you BS.
I know that the Malaysian DCA has just changed their syllabus to the JAA if that's what you're getting at, but Malaysians still end up with a Malaysian license; not a JAA one.