> Since I could tell which “state” the airport is in from looking at flightradar clearly there is a pattern. However the pattern is not easily definable [..]

Errm, what? "Not easily definable"? Based on what?

I've just opened FR24 and in less than one second I can tell that they're currently doing Westerly ops, which isn't a surprise.

Arrivals: 27L Departures: 27R

You don't need to "predict" what they're doing, you just need to look at where the aircraft lining up to land, and (on the other runway) where they're departing from.

(Full disclosure: have done many hundreds of LHR flights over the years...)