If you're not hung up on miles or status, then CX is definitely superior to LH in Y. CX has PTVs, Asian service (not saying its' better, but certainly different from LH) and better food (IMO, it's a personal opinion).

However if you'd prefer equally timed flights - then LH is better - CX has a 14 hour followed by a 6 hour segment, while LH is 11 followed by 8 hours (very approx).