Your first picture tells us (though it would be easier to follow if you stood back and took a wider pic so I could see where all the cables go)
I only see one pair of thick tails coming out of the load side of the meter (the thin ones are for your timed switching) and they divide subsequently for your off-peak and your full-time services.
Therefore, the meter does not know where the power is being used
Therefore, if it is charging an off-peak rate according to the timer, it must apply that price to all power consumed during the off-peak hours.
I only see one pair of thick tails coming out of the load side of the meter (the thin ones are for your timed switching) and they divide subsequently for your off-peak and your full-time services.
Therefore, the meter does not know where the power is being used
Therefore, if it is charging an off-peak rate according to the timer, it must apply that price to all power consumed during the off-peak hours.