The goal of the US was to conquer what is now Canada. The goal of Britain was to prevent the US from attaining that goal. Based on this it seems the party that does not attain their goal would certainly not ‘win’ while the party that does attain their goal would ‘win’ more than the party that did not attain their goal.
Now, if you move the goal posts and state that the US goal was to stop the British navy from pressing US sailors into the British navy then you would have a different conclusion.
I grew up in the area where much of the fighting occured. In fact, later today I am going to a celebration where the local flour mill was the only one left standing in the area after the US burned the rest. No mills means no support for the local militia and army.