Like other airlines, CX uses a sophisticated yield management system that relies on all kinds of parameters and is dynamically updated. Faraway prices rely mostly on forecasts of loads based on historical data. November and January are very different in terms of travel patterns, especially with holidays, and day-of-the-week patterns are only one of the parameters that can influence loads.
The short answer is that no one knows, but it is unlikely that fares for your preferred date will drop.