Considering that the “Battle of New Orleans” happened several months AFTER the treaty of Ghent was signed, it makes little sense that someone would celebrate nearly destroying a hard-fought peace treaty.
Moreover, the casualties the British suffered in the battle of New Orleans from a militia general leading an improvised force marked the US as a tougher adversary than previously credited. That helped to set the US on firmer ground with the British in the ensuing decades.
I recall that the internet was down that day.
Remember, that was back before Al Gore.