The Ombudsman reports systemic problems and/or potential breaches of laws administered by ASIC, wrote ASIC's Misconduct & Breach Reporting Stakeholder Services. I'm also sure Amex will not want to explain to HQ what went wrong if, perchance, it is named in Parliament too or faces enquiries relevant to its licence.
ASIC seems to prefer that Amex resolves disputes via, firstly Amex's internal service and then thru the BFSO and/or Courts/Tribunals. Amex may be wise to be reasonable. Thus far it has poc'd multiple entrants and cancelled points it deemed through the very dangerous self-help remedy, were 'fraud or abuse' (and personally I believe the term fraud or abuse means abuse of a fraudulent nature, which is nigh on impossible to prove: just ask Citibank about 'magic money tree' schemes in the 80s which still have not passed a committal hearing despite over 100 witnesses - only the broker is 'inside' due to a guilty plea).
It may also see it could also have trouble if Consumer Affairs, Consumer Credit Legal Service and Choice and others find, under different Acts, Amex cannot simply change terms, with-hold bonuses, cancel points, offset valid points against alleged 'fraud or abuse or multi-promo' points and the like. Self-help is a dangerous remedy, if only because Courts think they should not be bypassed: eg OJ Simpson took back his own property, and is doing time.
Accordingly one might suspect Amex is being nice'ish to those who could open a Pandora's box. In my case, I've been asked by a regulator what I would like.
Amex should start awarding bonus points now so the angst, suspicion and fears they are, by inaction, creating will disappear.
They've removed the multiple entrants, fixed the computers, assigned personnel to the promo, and they've confirmed their views on coffees etc being legitimate. The clearly legitimate purchases should have bonuses given now, and leave disputed bonuses for the BFSO, ASIC et al later (rather than causing loss and damage by withholding genuine points).
I can't see any real reason why they cannot, now, lift the suspicions that their 8-10 week delay is creating.