In all the years I have flown from Shoreham I can only remember one occasion when the QFE and the QNH were not the same. Even then, the difference was a staggering 1 hpa/mb.
Since the QNH on the day was as near as dammit 1013 we can also take mis-setting of QNE (1013.25) out of the equation.
All in all, in this particular case, getting QNH, QFE or QNE confused is just one bloody great red herring!