Wrong approach though Nige, the correct question is.....what current is the fridge using......and whats the surge current
Reason being, the cable used is at least 2.5mm2 (I seem to recall its actualy nearer to 4mm)
Assume worst case of 10m (which its not) thats 0.1 ohm on a bad day when you allow for fuses etc.....at 20A the volt drop is 2V max....which any system in a pikey wagon should be able to tolerate with ease.
I suspect its the surge as the motor kicks in on the fridge that is the issue which tells you a few things.
1) Its a poorly designed motor/fridge setup (no surprise as they dont have to meet any specific design standards running off LV DC so will happily take 10-20 times surge current from the vehicle)
2) You have now moved the electrical stress to the van, trailer wire and connector (the connectors are bloody awful design and quality from an electrical perspective, even the newer types).