I do not own a copy of volume 1 of the Armstrong Masters of Jazz series, but, FWIW, the Frémeaux & Associés 'Louis Armstrong Intégrale, volume 1' also lists September 1923 for the Paramount King Oliver session. This edition dates back to 2006. Liner notes by Daniel Nevers (English version by Laurie Wright) state:
"(...) The same applies to the Paramount session (no connection with the eponymous Hollywood major), as all original recording sheets were destroyed in 1942. When these Oliver 78s were first republished, they were thought to be from late 1922. The date then changed to March 1923 and, later still, on Christmas Eve. Should this be the case we would hear the refashioned Oliver structure, but it is in fact the old band. Another enigma is that only three titles were made, but there again there maybe wasn't time for a fourth piece".