I think you’ll find the availability of CX F, JL F, AND EY F on AA.com to be particularly laughable. That you can book them using AA miles doesn’t mean it’s anything but outrageously rare to find that to be possible. Anyone flying AA or using AA miles already knows this to be true.

For the record, I had used AA miles to fly CX F back in 2012 and 2014. Not once since have I found it available.