We were trying to stay under $3000, and the agent went down from $3200 to $2700, but the Air Canada/Asiana routing takes 30-40hrs each way.
I suspect booking further in advance would give Skylux more options (they are competing with other holiday flyers for the same award seats) and lead to a better schedule.
However, as the website says All for privately negotiated contract prices that others cannot find online. I am not sure if these are award seats or not.