Some cultures and religions believe the pig is a 'dirty' animal, while others revered pork. Many of European descent included pork ~ raised naturally, not in artificial industrial settings ~ as part of their traditional diet. Yes pigs roll around in dirt. But so do dogs and cats. This keeps them cool, and rubs off bugs. And, it looks like they are having fun!
Pork is high in vitamins that beef is lower in, such as B1, thiamine. Thiamine is used to help metabolize protein and fats, convert glucose into energy, and for maintaining healthy functioning of the heart and nerves.
Pork can be very lean, or very fatty, depending on the cut ~ same as beef. The fat from pigs is at least one third monounsaturated which you may not be aware of. Animal fat is not entirely saturated, however coconut oil largely is.
Pigs are ideal animals to have on a small farm. They eat up scraps and forage, and turn it into useable, nutrient-dense protein, and delicious cuts that are higher in fat, such as pork belly which is cured to become bacon.
As all things, when consumed judiciously with mindfulness, it can absolutely be part of a healthy low-carb diet.