Not quite, this student is with a QFI and therefore it changes his status.
Not trying to dig in here whopity, but may i quote you!
Certainly. Try Article 255.
Flying with an instructor has nothing to do with the status unless the flight meets the requirements for the giving of flight instruction as defined in the ANO.
Would love to see your entry for lesson 14
You the instructor would not have an entry! Neither would the student unless he was sent solo from a licensed aerodrome; and then with no relevant accountable training prior to this exercise I think you might find yourself in contravention of Article 138