But we lost huh?
Yup, we lost. The British never sailed again on the Great Lakes, their line of supply/communication to the interior of the N. American continent was severed from two separate directions, and thus they never had any meaningful presence in the area. The Americans got whupped.
We did well in the south and west, less well in the north and east (sound familiar?). Jackson beat the British in New Orleans after the treaty was signed. The treaty basically took everything back to the way it was before the war, which for us was a victory since it meant England essentially finally recognized the US. Burr also went insane (more insane than before) and came really close to getting New England to secede.
So, a loss? No. Our most resounding victory ever? Not that, either. It also set up the split between the Jackson people and the Whig people.