Since only P1C hours and mandatory dual training hours are specified for the purpose of licecne issue (apart from TT); it matters not a jot how the flight is logged. Except that it must NOT be logged as P1C.
There is no obligation for the FI/CRI to handle the controls at all, merely directing a series of requirements. You thus have a qualified pilot demonstrating his/her skill. Slightly different to pure 'training'.