No and that is not the point with this.
You should always decide if you would like to do the flight or not.
The situation arises with very experienced pilots who uses their own aircraft and whises to have an instructor onboard in their own aircraft for a training flight.
Some of the privately owned aircrafts do not have full controls on the other side but that should not stop them from having an instructor onboard for training in them.
(If the instructor should feel that the pilot is rusty then he should suggest using another aircraft of course.)
But pretty often the situation arises where an instructor gets the question to go up with a privately owned aircraft with a very good current pilot. In this situation how do you log it accoring to all rules correctly?