Prof John L said:
Now for nose weight Trailer weight - TA = Nose weight
Are you sure about this?
If we agree that:
nose weight = amount of caravan weight transferred to towing vehicle
Then if the caravan is uncoupled from the towing vehicle, one of two things would happen. Either the jockey wheel would be lowered and some of the weight of the caravan would supported by this, or the caravan hitch would come to rest on the ground, this would also also support some of the caravans weight.
Either way the nose weight that you calculated would not be correct.
I would think that a more precise way would be (as you said) to weigh the towing vehicle coupled and uncoupled, and subtract one from the other to get the weight of the caravan transferred to the towing vehicle.
i.e. nose weight = (Front Axle Coupled + Rear Axle Coupled) - (Front Axle Uncoupled + Rear Axle Uncoupled)