Jan - It is of no consequence whether the aircraft is flown by a commercial pilot for commercial operations or flown by a private pilot for private purposes: It is still the same aircraft and therefore it flies the same.
For the CPL skill test and throughout the training the operation of the aeroplane must be strictly in accordance with the aircrafts POH. Whether flown by a CPL or a PPL it is the deviations from the correct ops that lead to accidents.