Those Australian reptiles which are thriving in private collections overseas, such as bearded dragons, are doing so in spite of our export laws, not because of them.
Almost all are descended from founders who were smuggled out of the country.
Australia's restrictive export laws (which are "pushed" by animal libbers) are counter-productive to large scale breeding.
The smuggling of birds and reptiles into and out of Australia, which is pretty horrible, will never be stamped out until there are reasonable import and export laws. The present laws are not reasonable.