This reminds me of guys talking about skinning a deer with a truck. It's an interesting idea but I doubt I'd ever put it into use.
I've been hunting rabbits for well over thirty years. The standard practice is the field dress (gut w/out skinning) the animal immediatly after the kill. With practice this takes way less than two minutes. (Besides, it'll take a bit to get the dogs on another rabbit anyway and if you are jump shooting rabbits, without dogs,I really don't see the hurry.) We then carry the animal on our belt until we can get it back to a vehicle. At the end of the hunt is when we remove the head, feet, skin, heart and lungs. On an unusually hot day we usually clean the critters at lunch and the end of the day.
All of that being said; I don't see what the problem with gutting one the ole fashioned way is. It already only takes a minute or so and having the cavity open allows for more rapid cooling of the carcas. Now, I've only hunted swamp rabbits in February in Mississippi where it is often in the 60s by the end of the hunt. So, it may be good for something but I don't see how it would help me.
On a side note; with coyotes and fire ants, both new to MS in the last 40 years or so, our rabbit hunting is not what it was when I was a kid. Heck, I don't know many people with rabbit dogs, anymore.