Checking the WoF VIRM it looks like they do not need to work. The heavy vehicle VIRM takes you to the same page.
"When switched on, a front fog lamp does not operate (Note 5)."
10. When switched on, a front fog lamp emits light that:.....
11. When switched on, a rear fog lamp emits light that is:
a) not projected to the rear, or
b) not diffuse, or
c) not substantially red, or
d) not approximately equal in colour or intensity from the other lamp in a pair, or
e) of variable intensity, or
f) not bright enough to indicate the presence of the vehicle from the rear in conditions of severely reduced visibility, eg due to modification, deterioration or an incorrect light source, or
g) altered, eg due to damage or modification.
Note 5
A forward-facing permitted lamp that does not comply with the equipment, condition and performance requirements must be made to comply, be removed from the vehicle, or be disabled so that it does not emit a light.
"When switched on, a front fog lamp does not operate (Note 5)."
10. When switched on, a front fog lamp emits light that:.....
11. When switched on, a rear fog lamp emits light that is:
a) not projected to the rear, or
b) not diffuse, or
c) not substantially red, or
d) not approximately equal in colour or intensity from the other lamp in a pair, or
e) of variable intensity, or
f) not bright enough to indicate the presence of the vehicle from the rear in conditions of severely reduced visibility, eg due to modification, deterioration or an incorrect light source, or
g) altered, eg due to damage or modification.
Note 5
A forward-facing permitted lamp that does not comply with the equipment, condition and performance requirements must be made to comply, be removed from the vehicle, or be disabled so that it does not emit a light.
Don't be alarmed when you see me talking to myself, I am getting expert advice.