Checked that thoroughly and with MWO to be sure, yes, should be a '71. I think there are two possible reasons for the "wrong" caseback:
1. It left Omega this way if it was a quite late production '69. I don't know how likely that is, but a possible scenario.
2. The AD had this watch a while until it was sold in '72. He might "pimped" it then with a current series Caseback to sell a fully current watch.
I know that the owner gave it away to a watchmaker he knew once in his life, somewhen very early 80s, to have it checked and oiled. it was not send to Omega then or ever.