In a deep pot, heat olive oil and butter on medium. Add lobster tails, cover, reduce to low, and cook for 4–5 minutes. Remove and let cool.
Remove lobster meat from shells; reserve meat. Add large shell pieces back to pot. Add water and bring to a boil. Simmer 10 minutes.
Add celery, onion, shado beni, garlic, Scotch Bonnet, thyme, and black pepper. Sauté on low for 4 minutes.
Remove lobster meat from shells; reserve meat. Add large shell pieces back to pot. Add water and bring to a boil. Simmer 10 minutes.
Remove shells. Add spinach, salt, sweet potato, pumpkin, and okra. Stir in coconut milk and seafood stock.
Bring to a boil, then simmer partially covered for 50 minutes until vegetables are soft.
Blend gently with swizzle stick or immersion blender to desired texture.Blend gently with swizzle stick or immersion blender to desired texture.
Adjust salt, stir in reserved lobster meat, and serve hot.