I really cannot see what all the fuss is about.
Over the years I have flown all over the World with Aussie registered aircraft, on Aussie AOCs, with Aussie Pilots and Cabin Crew.
This includes both internationally and domestically in the USA, although we did have Crew Visas, and internationally AND also domestically in Vietnam where we had NO special Visas or work permits.
So doesn't it work both ways?