From personal experience I wouldnt try QF. It appears they that love to take experienced crew right through to the medical, security and referee checks but wipes them out immediately after. I might add this is an extremely expensive exercise for the applicant. Maybe I am too old fashioned but it used to be that an invitation to a medical etc was very much an "in". This isnt just sour grapes, I personally know of at least 12 other experienced airline crew that failed due to the extremely high calibre of the other applicants. Where exactly is the competition at a medical? Cost of getting that "NO" was from $500 - $1200, as we were required to pay for 2 return flights interstate and then the cost of the medical and security checks. Best of luck to any who got that elusive short list letter.
