Got confused because Expertflyer shows a lot of D-availability with different POS for all different dates I tried before. That‘s why I was wondering if the AA RTW desk might be even willing to help and try even if there‘s only this one LAX-HNL on AA metal.

Surcharges aren‘t the big problem, it‘s more about the fact for TATL it indeed is a lot cheaper going OSL-HEL-LAX (AY) instead of OSL-LHR-LAX (AA). For SYD-DOH-DOH (QR) this would be the best option in terms of earning NTPs and avoding an overland via JNB.