36 luhrs convertable

Seconded.
I'd be more concerned about the charger than the fridge, if it can't keep up with the current demand of the fridge and also have a fair amount of additional charging capacity on top.

PS: R U sure that the fridge is connected to BOTH DC and AC?
I don't mean to offend or anything, I've actually seen a boat which came from the builder with just the DC connected....

I'm not sure to see what you mean, NYCAP.
While the boat is docked, connected to shore power and with the charger on, don't you leave the domestic battery bank connected?
I mean, don't you need DC also for lights, toilets, fresh water pump, whatever?
DC-powered fridges shouldn't run down the battery bank anyhow, as long as the battery charger can supply more amps than all the DC equipment can demand, which should be a given.
In fact, I also don't get the point in that CCC webpage:
"the DC from the charger does not go into and out of the batteries, but is supplied directly to the fridge from the charger".
I mean, isn't that's stating the obvious, and always true regardless of whether the batteries are also connected or not?

Yes it does, but that's what actually happens also when the fridge is connected to the batteries.
Just think of a normal scenario, where the battery bank is fully charged and connected, with the charger on.
In this condition, the charger supplies just a few amps in floating mode, because it automatically senses that it only takes a tiny bit of current to keep the batteries topped.
In this scenario, if you turn on any DC component that demands some current (by the way, a fridge is very far from being one the most demanding components - let's say for instance that you turn on a bow thruster that draws 40 Amps), the charger immediately senses the current demand, and instantly spikes up the supply to cope with it.
Therefore, for all intent and purposes, it's always the charger (when it's turned on, obviously) that copes with any DC demand, and that remains true also if the battery bank is connected.
Current is drawn from the battery bank only if and when the DC current demand should exceed the charger capacity.
Other than that, the current just flows directly from the charger to the fridges/thruster/pump/you name it, also while the battery bank is connected.

That said, I agree that if you leave the boat unattended and you know that you don't need to leave on any DC equipment, you can as well shut the battery bank off.
But it's pointless to bypass the battery shutdown for a fridge: if you need to leave it on, just leave the batteries connected, and you achieve the same result. In fact, most modern nautical fridges are DC only, because the AC conversion is just another useless bit that can go wrong.
Aside from superyachts designed to run on 3-phase AC 24/7 of course, but that's another league altogether.

The only exception to this general rule are bilge pumps, which indeed should bypass the general battery disconnector, as you are saying.
In this respect, I also disagree with cleanslate.
In a well designed electrical system, it should be possible to disconnect DC completely, fridges included, because that makes sense when the boat is left unattended for some time, and there's no need to keep anything on, including DC cameras or other remote control systems - if any.
But, and it's a BIG but, each bilge pump RCD should always be directly feeded by the battery bank (hence also by the charger), bypassing the general disconnector.

Well, actually the breaker still makes sense.
It's supposed to be there to protect the circuit, otherwise in case of overload there is a risk of melting the wires insulation and potentially spark a fire.
Also, nothing wrong with having the breaker in the same panel as all others.
That's where they are also in my boat, and I've seen the same arrangement in many others.
What is definitely wrong in the setup that cleanslate mentions is that these breakers should be directly connected to the battery bank, as the charger also is, bypassing the general battery disconnector.
Btw, I notice that I wrote "RCD" at the end of my post #12 when talking of this electrical scheme.
My mistake: replace that with "breaker" instead.