Given that Canada was invaded by a much larger, apparently ‘professional’ American Army, that the British military was tied down with the Napoleonic wars in Europe, and that it was mostly Canadian militia and First Nations that defended Canada, and that the invasion was defeated, then yes, it was a VICTORY for Canada, even though in the end, no land was gained or lost by either side. It established a Canadian identity, different from a ‘colonial’ identity.
Forgive the run-on sentence.
The British Army had forts at St Joseph Island, Drummond Island. It was this knowledge that gave me to think of the British Factor in the struggle.
On a lighter note, a journal was kept on the Drummond Island which was American originally. The officer disliked the island, being a well bred British type. He also complained about the potatoes served and " a rather poor wine".
This the last territory annexed by Britain, who held on until 1827 to the island. A note was finally served which read that "if you do not leave immediately, we will come back with force of arms". The British left, leaving the cemetery and the unfortunate Irish soldiery buried there. Added to that the two chimneys of the barracks.