Hi, Having looked at the Thetford fitting instructions here
https://www.thetford.com/app/uploads/IM-N4000.pdf The information on page 9 shows a power connector like this,
assuming you're fridge has this connector then:-
The thick positive cable from the starter
battery goes to Red 5
The thick negative cable from the starter
battery goes to the white 1
The thin positive from the leisure
battery goes to the purple 3
The thin negative from the leisure
battery goes to the black 2
There is also an orange wire (4)which is supposed to go to the ignition D+, This D+ connection is energised with 12V ONLY when the engine is running so that the fridge only draws 12V power from the starter
battery when the engine is running. This D+ connection wasn't used by your old fridge and so almost certainly isn't available at the rear of the fridge, this is because the D+ switching was being performed by an external relay probably in your vans PDU and as such only provided 12v to the fridge cooling side (via the thick cables) when the engine was running. So when you said that the the thick positive went to the starter
battery I'm assuming you mean it goes to the starter
battery via a relay and is only 'live' when the engine is running? IF that's the case then linking the orange wire into the red/thick starter + cable junction should do the trick and fool the inbuilt circuitry, ideally stick a 3A
fuse in the orange feed.
The CI bus is an industry standard for of communication interface that lets you see details of the fridge on a common central control panel. it;s relatively modern and not available on older vans and in that case just leave it unconnected.