I thought I'd add my two pennies worth to the thread.

I totally understand folk feeling it's not worth fitting a fridge in to their teardrop. It's good that we're all aware of the dangers of burning propane gas, and the products of combustion. It's much better to be safe than sorry
I have had a fair few years experience in the domestic gas industry, and I'm a Gas Safe registered engineer (UK must have for gas fitters). As it happens, domestic caravans don't come under the same strict regulations as a household or static caravan. Anyone is allowed to do what they want in their caravan, as long as it's not hired out.
The three way fridges that I've used are very common place over here, and most caravans have had them fitted over the last 30 years. Whilst they are expensive if bought new (
Over £500) they can be bought cheaply on the second hand market (£50).
Weight
They do weigh around 44lbs so I can see that may put some off fitting one. I wander how much a cooler would weigh when its filled with ice ?
Space
The idea it takes up space is a little confusing to me, as it actually gives me a lot of storage space for food and drink.
As well as keeping stuff cold and fresh, we've fitted a stainless steel dish above the heat exchanger , that's really handy for keeping food warm, or drying tea towels and the like.
Most of the time we use an electric hookup so we don't use it on LP gas unless were somewhere without electric.
Fitting
Other than ensuring the gas pipe is suitable (we favour copper pipe over here) and sound (not leaking) the next most important thing is ensuring the flue gases are exited safely. The two fridges that I've used in the teardrops have been designed to be rear flued. I've added a 90 degree bend to the flue, and exited it out of the side of the trailer. the flue continues to rise constantly to the terminal.
I've used a smoke match to satisfy myself that all the products of combustion are being removed safely. We've used the fridge on gas many times and it works just fine.
The big vents top and bottom , ( or side and bottom ) will allow the fridge to cool. If the vents aren't big enough, or are blocked in some way, it will effect the coldness of the fridge, but not the safety of the unit. The flame that the fridge produces is a small pilot size flame, and given the recommended space behind the fridge, there is little chance of it causing any harm.
The only frustrating part of using the unit on gas is if the flame gets blown out. It's not a safety issue as it's fitted with a flame failure device, that cuts the gas of within 1 minute of the flame failing. I'm not keen on warm cider.
I should also add that the 12v mode on the fridge is designed to be used only whilst towing, as the feed is connected to the tow vehicle.
If it's done safely there are many pluses to having a 3 way fridge.
I suppose a carbon monoxide alarm fitted into the cabin, under the cabinets at the rear of the trailer would give total peace of mind. I haven't found it nessisary, as I'm happy with my set up as it is.