The problem with the London is that against certain setups white's approach is not aggressive enough to maintain an advantage. The King's Indian being one of them. (a fast ...Bd6 is another one as are the Qb6 lines. The bigger problem I have found is that London players typically lack the mental flexibility to change plans when faced with something different. They are most interested in playing their setup and then figuring things out. IM Lakdawala's book on the London addressed the King's indian setup and was surprised by it in a blitz game on ICC against a GM. Interesting since he has played the London for a long time. His approach to combat it is a change in the standard setup used in the London, which is something difficult for amateurs to do so especially when they pick the London to obtain a particular setup they can apply to every situation.
The London was very popular with a group of scholastic player taught by a particular coach in the area. One of the counters to it we taught was the King's indian setup. Their score against the London was skewed heavily in Black's favor.
Who would have advantage if white play london system and black reply with king's indian defense? what chess database say about that?