I do have some thoughts, because I had the same situation in my planning. If yours is the same, the feed wire that went to the absorption fridge is an 8AWG and is a dedicated circuit. That is plenty to supply the amps needed, BUT. The "but" is that the electronic compressor controls on this type of refrigerator are very sensitive to voltage drop. They can fail prematurely if they are subjected to more voltage drop than they'd like to see. This is stressed in the manuals, and from what I can tell is true. It's not a Vitrifrigo thing, but has to do with the Danfoss compressor controller.
So at first I was all, oh goodie, a dedicated 8AWG wire for a refrigerator that draws 3.8 amps. I'm on Easy Street! But then I did some calculations.... Well, that wire is close to 30' long (one way). Now the negative is a chassis ground, but there is a fair bit of 8AWG wire leading to the chassis ground on each side, and then I'm not really sure what "wire size" a chassis is. So I presume for the sake of calculation that the entire round trip (erm... sixty feet, ouch) is 8AWG. I can't remember right now if the compressor uses more when it starts up, but it runs at around 3.8 amps, so I figured 5 amps (or maybe back then I looked it up). This is for the BD35, if you have the BD50 it might be a higher figure.
So, heading over to the trusty voltage drop calculator, I put in the figures and come up with.... around 2% for the dedicated refrigerator leg. But, you also have to add the voltage drop on the main panel feed wire. If you have the stock setup in a 21-er, that's another ~30' of 8AWG wire from the Brown Box to the batteries. That's another 2% if no other loads are running at the same time. Then you have the battery jumpers, but we'll leave those out for now as I can't remember the sizes/lengths. I wouldn't be happy with 4% voltage drop. I have very little voltage drop in the main feed leg and jumpers, but I still may consider running a new wire pair (and not using the chassis ground). If I had the stock main feed I'd definitely do something different.
I calculated and it's close to the same distance going around either way with the wire (forward or aft), so there's not much savings there. Running 6AWG around would be fairly big/clunky. So I considered running a 6AWG duplex cable (because I have a lot of 6AWG and little 8AWG) across under the rig. The generator wire already takes basically the same path. That would be something like a 12' run for me, much better.
Okay, after all that, I re-looked at the Danfoss recommendations. They list 30' (one way) as the very maximum length for 8AWG wire, but they specify that that be
directly to the battery terminals. In other words, you don't "get to have" any more length (like, oh, say the 30 more of 8AWG from the Brown Box to the batteries...
Now you don't actually have to run straight to the battery posts (if you listened to every mfgr who said you had to do that, you'd have thirty lugs on each battery terminal

), but the concept is that it should have very little voltage drop, and should not be on any other busy/droppy circuit (like say on the same breaker as a pump or something).
So the short version is that no, with the stock Chinook setup I would not want to use that 8AWG wire - especially in combination with the lengthy 8AWG wiring that goes on to the battery. In my case the 30' of 8AWG is basically the only wire I would have, effectively (because I have large wire and short distance from panel to batteries), but I'm pretty sure I'm still going to make a new shorter/larger run to keep the refrigerator blissfully happy

I'll run duplex cable, so no chassis ground for that circuit.
(For the moment I'm running a Dometic "cooler shaped" refrigerator which also has the BD35 compressor. I took the original "thin" cigarette lighter cord that Dometic supplied (I think it was 14AWG, IIRC) and changed it to 10AWG and also hard wired it (vs. the cigarette lighter plug). So I have around 12' of 10AWG, and then right to the heavy battery cables. I do have a second cord that is the stock type in case I want to temporarily put it somewhere else.
BG