Bentleg, sorry, but with respect, you are wrong.
Go and read CAR 206, this is purley for the purposes of categorising the type of aviation operation ( i.e does this require an AOC ).
Industrial Relations is a whole other issue, go to their web site are test your theory against their definitions.
There are private companies moving their staff around the world in their own B737, this is categorised a private operation by CASA, these pilots do get paid.
Do not ever work for free, if you do, your resume will find its way into the round filing cabinet under any Chief Pilots desk.