This is a great contribution as we can see that most houses have only one or maybe two openings that give highest average winrate. I found that most of them are logical. For example special consolidate power is wise to use as you are less dependent on event cards. Statistics also show that money is really important so using CP on a single footman is a strong move even for Stark and Martell.
However, there is one exepction: Lannister. The standard strategy of special CP*, CP and Def +2 doesn't have the higest winrate by far even though this is the most common opening that I see in the games here. It mimics other houses where CP* for more troops and CP for more money seems to be the best strategy. But not for Lannister. Take a look at statistics for winrate of different strategies.
https://drive.google.com/open?id=14Om1tPBZKPF-1d0i-klKHfP9nf3xtnNK
The standard CP*, CP, Def +2 gives you only the 4th highest winrate of all possible openings. What facinates me here is that it seems like the best winrates (first 3) come from the opening moves where you agressively contest Riverrun or even aggresively move against Greyjoy on the sea.
Opening G has highest winrate and you totaly ignore money and CP*. You bassicaly garantee to take Riverrun unless Greyjoy uses double march order on land troops and brings all his units in Riverrun. You seem to not care about Def on your ship and only support troops in Riverrun.
Opening K has second highest winrate and again you are marching in Riverrun. With 3 march orders you are guaranteed to march last and use march +1 order to strike Greyjoy. He can secure wictory only if he places all of his troops in Riverrrun.
What was a supprise to me was that even C opening has higher winrate compared to standard one. Here you place CP on Stoney sept, CP* on Lannisport and March +1 on Golden Sound. Only explanation of superiority of this strategy against standard one is that maybe you either march on Greyjoy and burn his good card (you use Hound to defend against catualities) or you move to Sunset Sea and then muster more ships in Golden Sound and this gives you naval superiority.
I know Lannister is more complicated to analyse compared to other houses as he can use Raven and change orders, but still. Contrary to other houses opening strategies I don't find real logic in these statistics. Why is CP*,CP, Def +2 not optimal here even though almost everyone plays it? Maybe Riverrun is so important to defend against Greyjoy? Why is C better then A? By playing C you are using march +1 against Greyjoy even though he has better housecards and a sword. How can this be better then defending??
I will be greatfull to discuss this interesting topic