That's because the 1903 Wright Flyer was barely able to fly a few hundred feet. It was just a proof of concept for stability. The 1904 Flyer II was able to circle and fly for about five minutes. The 1905 Flyer III crashed a few times, and then they reworked the controls and were able to fly 24 miles.
At last, they had a minimum viable product. In 1907 they came out with the Wright Model A, which was the production version of the improved Flyer III. This had a range of 125 miles, and was the first production aircraft.
"Santos-Dumont later added ailerons, between the wings in an effort to gain more lateral stability. His final design, first flown in 1907, was the series of Demoiselle monoplanes (Nos. 19 to 22). The Demoiselle No 19 could be constructed in only 15 days and became the world's first series production aircraft."
So it looks like the Wright Model A was not the first production aircraft.
At last, they had a minimum viable product. In 1907 they came out with the Wright Model A, which was the production version of the improved Flyer III. This had a range of 125 miles, and was the first production aircraft.