Mine is significantly different, as I'd never present myself for a checkout without having familiarised myself with the manual, and got the key points of the emergency drills on my kneeboard.
"If there is an emergency, I will handle it, but you of course will take control at any point you are unhappy".
Me too. When I flight test an aircraft with another pilot (nearly always for insurance reasons), my briefing will always include my saying: "No matter what, I will continue to fly the aircraft. If you would like to take over control, say so, and you'll have all of the control, but the flight test will be over." With that briefing, I've never had a problem.
If the aircraft was single pilot, within the privileges of my license, and I flew the whole time, I will log the time as PIC.