Sam2;
Don’t be so quick to admit error. The Rambam died in 1204. R’ Moshe Taku died shortly before, and maybe years before 1234.See Auerbach’s Ba’alei Hatosafot, pages 424-425 where he proves 1234 as the latest possible date of R’ Moshe Taku’s death. According to Auerbach, Wikipedia (1290) is mistaken. I believe Auerbach, maybe the greatest authority on the ba’alei hatosafot. The overlap therefore with the Rambam is significant, and your theory has not been disproven by any means.