In a large heavy-bottomed pot over medium heat, cook the diced bacon until crisp, about 5–7 minutes. Transfer bacon to a plate with a slotted spoon, leaving the drippings in the pot (or add 1 tablespoon butter if not using bacon).
Add the butter to the pot. Stir in the onion and celery and cook until softened, about 4–5 minutes. Add the garlic and cook for 30 seconds until fragrant.
Sprinkle the flour over the vegetables and stir well to form a roux. Cook, stirring constantly, for 2 minutes to remove the raw flour taste.
Stir in the tomato paste. Slowly whisk in the chicken broth, then add the clam juice and white wine. Bring to a gentle simmer.
Add the diced potatoes and simmer until fork-tender, about 15 minutes, stirring occasionally.
Reduce heat to low. Stir in the smoked salmon, corn, and capers. Pour in the heavy cream and add the softened cream cheese, stirring until fully melted and smooth.
Season with smoked paprika, black pepper, and salt. Warm gently for 5 minutes—do not boil after adding dairy.
Stir in the chopped dill and half of the crispy bacon (if using). Taste and adjust seasoning.
Ladle into bowls and garnish with remaining bacon, extra dill, a little black pepper, and oyster crackers.