Prep Beans - Rinse dried hominy in a colander under running water until water runs clear. Place hominy, dried chickpeas and lima beans in the large pot or Dutch oven. Soak 8 hours or overnight. Drain and set aside. Canned, or frozen hominy and beans may be used without soaking, just up the amount a little.
Make Quiquirimici Garnish - Wisk together olive oil, sweet paprika, minced garlic, and red chili flakes. Set aside.
Cook Meat and Vegetables - In same pot, heat oil over medium heat. Season pork or beef cubes with salt and pepper. Working in 2 batches, brown meat cubes on all sides, about 5 minutes per batch. Remove to a plate. Add chorizo to pot and cook until fat renders, 2-3 minutes. Add onion and garlic, and cook until soft, around 3 minutes. Add tomato paste, oregano, cumin, and bay leaf. Cook another 2 minutes.
Cook Locro - Return meat to pot along with beans, squash, and water. Bring to a boil, then reduce heat to medium-low and simmer until hominy and beans are tender, about 2 hours.
Serve - Stir in lemon juice and season with salt and pepper, if needed. Scoop into bowls, drizzle with quiquirimichi and garnish with chopped scallions.