Disappointing indeed. I've lowered my expectations at this point.
I have a Slack channel with work colleagues wherein a few of us have all applied and the experiences there echo here: random timelines for responses or lack thereof to EOIs (even when matching from the same airline with similar travel and decision-making patterns) and two people now also pushed back not because info provided was insufficient but because they're "ineligible" despite appearing to meet the requirements quite straightforwardly.
I applied a week ago now and still haven't even had a response to my EOI for them to even consider my data, and that despite having an established-but-never-status-achieving flying year on year with Qantas, quite a few upcoming bookings in 2021, and trying to match from Platinum-level from not one but two other airlines / alliances (Asiana and Delta).
No idea what they're looking for, but it seems QF roulette is striking per usual and par for the course.