Would this be a useful tool to carry in the woods, or just use as a utility knife?
Yes and no, but mostly no, at least in my opinion. If your primary concern is going to be bushcraft and similar activities, you'll probably get more use out of a short and thick straight edge that can handle a beating. This short & straight edge will make the knife more maneuverable, making it easier to use in multiple tasks, such as skinning, feathering, simple woodworking, etc. A thicker blade is also interesting for batoning, which can effectively replace a hatchet for gathering firewood.
The main selling point of a knife being utilitarian in nature is that it can replace a multitude of specialized tools, so that you can carry a single item to get all those jobs done. The karambit also comes from South East Asia, where the flora and fauna are much different from what you will likely encounter in Europe or North America. As such, it's likely more adapted at performing those same tasks in that geographical context. People over there are not skinning/butchering the same animals, they're not cutting the same trees, etc.
So I guess my question for you is : can you see yourself cutting your food, cutting firewood, filleting fish or skinning game with your karambit? If so, sure, it will be useful in the woods. But I'm willing to bet you can find a more appropriate knife somewhere (for a fraction of the price of "The Mauler", too).
I'm looking to eventually learn the use of the karambit in martial arts training.
That's an entirely different prospect. If the Martial Arts aspect of the karambit has a certain appeal to you, you should definitely try it out. If you take a look around, you'll also probably be able to find training karambits that are either blunt or made of various polymers. This way, you don't have to maim anyone to train karambit techniques.
There's also nothing wrong with owning 2 knives. Use your karambit as an EDC when you're in town, where you're much less likely to have to skin a deer or cut firewood, and bring another knife to the woods. Besides, an angry bear won't be impressed by your karambit and most of the cool martial arts application won't work on animals anyway.