I have been continuing to look into this matter, and it all seems a bit fishy to me.
Oh, good. I'm glad that
someone is
finally looking into this seriously.

While the Qantas 28 flights are shown to be complete, the log history for the Qantas 27 flights generally tend to trail off and disappear. Note the following link:
http://i.imgur.com/zZrvzER.png
How does FlightAware get its real-time tracking information over thousands of miles of freaking empty ocean to deliver to you for free?
How about buying or borrowing, say, $30 Casio and Timex watches, booking a Qantas 27 and 28 round trip (that
won't be cheap, but consider what's at stake), and timing each flight using both watches? Maybe buy or borrow an old, but reasonably accurate, analog wristwatch, too, to keep the others "honest". That way, you'd have first hand, reliable information (unless, of course, that old analog wristwatch was in on the conspiracy). Get a window seat and also take a GPS with you if you can and airline policy allows you to use it during flight. Learn how to dump the GPS log and see the route and how it compares with the timing from your watch(es) and whatever FlightAware,
et al. posts for your flight.
<Bizarre rambling comment about L. Ron Hubbard, Freemasons, John Travolta, and a youtube video.>
These two flights also fail to show up on other tracking sites such as planefinder.net.
How do planefinder.net, etc. get their real-time information over thousands of miles of freaking empty ocean to deliver to you for free?
Although none of this added information provides definitive proof of anything, it does raise some red flags for me.
You're right about the lack of evidence for anything you claim.
Get off your butt and go investigate it if you're suspicious. All you're doing is sitting on your ass in front of a computer screen, probably within an easy walking distance to the fridge, and waiting for someone to hand you stuff for free so you can fabricate fairy tales about why they don't deliver, or what you don't understand. Doing some real investigation has the advantage of getting you out of your basement into the real world for a while, too.
On the other hand, it's much easier and far cheaper to take what you can get at no cost over the Internet and bark about what isn't simply handed to you, gratis.