In a blender, combine the onion, garlic, 2 cups (475 ml) water, vinegar, salt, oregano, and thyme and blend until smooth.
In a 6-quart (6 liter) Dutch oven, melt the lard over medium heat. Add the pork and sear for 6 minutes on one side, then flip and sear for another 6 minutes.
Pour in the blended mixture and use a silicone spatula to give it a stir and to loosen up any chunks of pork that might have stuck to the bottom.
Add 4 cups (1 liter) water and the hominy and its liquid. Give it one last stir and bring to a boil, then cover, reduce the heat to low, and cook the pozole until the pork shreds easily, 2 hours to 2 hours 30 minutes. Adjust the salt to taste.
To serve: Ladle the pozole into bowls and top with your favorite fixings like cabbage, radishes, and salsa roja. Add a sprinkle of sea salt and Mexican oregano and finish with a squeeze of lime.