I will add, I don't think these are really red-eyes! I always saw that as a US term, for the short west to east night flights in the generally utterly dreadful hard products in J and F. Fortunately these have improved lately, but anyway you'll have a flat bed for 14 hours! You'll be crossing a nighttime somewhere with a flight that long no matter what. For example, if you took cx885 departing at 1pm, even though it's light the whole time you still arrive at 3am LA time. You could easily end up with more actual red-eye on cx885 (or any longhaul flights) than cx881 or 883.
The "red-eye" term for longhaul and ultra longhaul, particularly with a bed to sleep when you're tired, is a little deceptive. It's basically just a late night depsrture.