MJ, it was still a training flight, even if your FI refuses to sign your logbook.
We are rather going round in circles now - I would maintain the FI should sign the logbook simply to confirm the flight took place. He is not "signing you off", he is simply confirming that the flight happened - he was P1, after all - why shouldn't he sign?
You see how complicated it becomes if an FI acts "ultra vires" and tries to place his own interpretation on what is otherwise a simple clear revalidation requirement?
JD