Sheffield Traffic Cops!!!!!!
Each time I watch I am tempted to call my oppo there - as the "star" of the show who appears in each programme is frequently filmed nursing the gear stick! That is not the example he should be setting.
As for the one-armed drivers - car is usually adapted (automatics, etc)
However, on the subject of the woman and the apple.
Apples are round and roll. If she'd dropped it - she'd have lost control of the car.
I have sat in the drive holding an apple and the steering wheel just now. I found it very awkard to turn the wheel holding it. I whacked the car into reverse and inched the car backwards and found I could not change gear, keep the wheel straight and hold apple at same time. The only way I could do this was by holding the apple between my teeth. This was the same when I then returned the car to the driveway in my little "highly uinscientific experiment"

Mind you - did choose the largest apple in the fruit bowl!
Would I have prosecuted? Possibly. Would have depended on whether I thought she would learn from a sharp word or whether I thought there was a possibilty she'd do so again. A lot would depend on what was actually seen regarding the standard of driving and risk potential.
As I spelled out in the "Careless v Reckless" thread - we look at conduct where the act of undue care etc is due to more than a momentary lapse/ inattention and the effect of that act on the road safety of other road users, and whether the act would comprised the ability to respond in an emergency situation.
People can choke on apples! But - if the person had given me no evidence of not being in full control other than taking a chomp from the apple - (as per the officer's reported testimony in the court) I would probably have given the mother and father of tickings off.
The case itself? I've had two of our "cats" bending my ear over something they heard on the radio - and I have yet to listen to this. They say they heard the defence lawyer state that the woman was charged with careless driving
after the local press reported the incident in which she apparently criticised the fixed penalty. I did not see the original local press report either - so I do not know how she was quoted either.
Perhaps the paper quoted her as saying she'd challenge the fine - and this provoked the further actions.
It seems the in-car video had run out of tape - so they had no photogrpahic evidence of the road or the act itself. This is probably why they decided to provide an aerial view of the layout to build the case. The aeroplane as I understand provided a decent photo of the road in question and showed the potential hazard. The chopper filmed the wrong road!

(according to the gabblings I got on the phone by not very tame pussycats!

). But have yet to find a bit of spare time to listen to the programme via the website.
What does strike me as strange is that the officer did say her driving was not careless and that she was in control of the car. He gave the penalty because of the risk factor. Personally - think more discretion should have been used if this were the case.
If my lads dish out any fixed penalties - we explain every small detail to our customer. We explain very politely why we are taking this action, time scale to pay the fine and surrender licence for points, and we do mention that they do have rights to challenge in court if they disagree with the charges, etc, etc.