Happy War of 1812 Day.

If by "the aims they took on later" you mean "the victor writes the history", then you have to concede that we won.

Naughty boy.

But you are right about perspective, after all the "big event" was really just a sideshow that arose due to another conflictand was settled when Britain sorted that other conflict.
Put it another way with another conflict, Britain achieved its war aims when it defeated vichy france after germany invaded poland. or maybe Britain lost the war because poland was still buggered by continuing occupation after 1945