Clearly it would have been the Right seat pilot who was conducting the training of the Left seat pilot.
But the Right seat pilot was
"...under assessment for the company training and checking role for Cessna 441 aircraft..." by
"...a flying operations inspector from the Civil Aviation Safety Authority."
Was the primary purpose of the flight to undergo a proficiency check of an inductee pilot, or conduct an assessment of the Chief Pilot for the company training and checking role for Cessna 441 aircraft? Was the flight being directed by the pilot in the Right hand seat, or the FOI?
I tend to agree with your response, but I have known of at least one FOI who would disagree with your opinion and his Log Book would prove that.