For an 11+ hour flight my priority would be comfort as opposed to ease of transit. For that reason, I wouldn't even consider an old cradle seat compared to the lie flat that QF offer. Yes it is slopey and some people don't like that but as a lounger it is incredibly comfy. YMMV though.
Don't forget than the LAN flight stops in AKL. The only time i'd consider LAN over QF would be in you could get LA F for a similar price to QF EZE-SYD.
If it was the LAN Premium Business i'd be on it in a heartbeat. For me, the new LAN J seat is hands down the best hard product in One World.