The Battle of New Orleans was not the only battle which Jackson fought. I don’t believe Jackson ever lost one and even a single battle is not meaningless, especially with how lopsided the victory was.
George Washington was embarrassed by the Hessian and the Black Watch in his first action in New York. To his credit, Washington kept learning and eventually was a very fine general.
As Robert E. Lee’s father said at Washington’s funeral. “He was first in war, first in peace, and first in the hearts of his countrymen.”
When else did Jackson actually face the British?
I will say it again - Washington had almost nothing to play with. There was no regular army, and less training. Never mind accoutrements and equipment. Mentioning Long Island - that’s the virtual real start of the RevWar for George. BTW, which he brilliantly - and providentially - escaped (subterfuge he would use again and again - mostly exactly because of his “army’s” disadvantages).