Defence Secretary Philip Hammond told ITV News it was not for him to judge whether Sgt Danny Nightingale should have been sent to prison.
He added that the Court of Appeal "acted swiftly" in this case which showed the system was "robust".
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Feeling a little better tomorrow as less cold air sneaks in as we go into the bank holiday weekend.
The footage, taken from a dead Islamic State militant, shows the fighters in a chaotic and panicked battle with Peshmerga forces.
Solicitors acting for 20 of the families said they were "appalled to see the shambles in South Yorkshire Police" following the inquest.