Easy to check cables if you suspect the problem is in the wiring. Measure the voltage drop across each side of the circuit separately.
i.e. With all original wires in place, put your meter +ve lead on leisure battery +ve terminal and meter -ve lead on +ve connection on fridge. Any reading in that scenario will be the volt drop in the +ve connection to the fridge
Conversely...
Put your meter -ve lead on the leisure battery -ve terminal and meter +ve lead on the fridge -ve terminal which will give you the volt drop in the -ve circuit.
You may have to switch your meter down to a more sensitive scale if it's not the auto ranging type.
For those of us who have owned 6v Beetles we've done this many time to eliminate the volt drop problems in elderly electrical systems!