The current BS recommendations do not ask for such and I don't believe it ever has.
However, it makes sense to get someone else to do it.
The BS commissioning recommendations include checking most of the installation work recommendations. Obviously an installer who has done something wrong because they don't know the BS recommendations, is hardly likely to suddenly know them when they start commissioning! They will commission the system as being perfect because they know no better!
By the way, BS recommended commissioning, does not include checking the design. So mistakes made by the designer will not be picked up on commissioning
I believe that commissioning is so important that it should always be done by an entirely inedependent party from the designers and installers, and, in fact, the commissioning should also include checking the design.